Very good linear algebra book.

44

$begingroup$

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.

Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks.

linear-algebra reference-request soft-question book-recommendation

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

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• 
  
  
  

  
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  get Lang's Linear algebra
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  – Artem
  May 22 '14 at 2:39
  

  
  
  
  


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  5
  

  
  
  
  
  
  

  
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  @Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
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  – user1551
  May 22 '14 at 4:06
  

  
  
  
  


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  @user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
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  – fkraiem
  May 22 '14 at 7:02
  

  
  
  
  


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  Please take off the hold. This seems a great question for forums like this one.
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  – JPi
  May 22 '14 at 7:35
  

  
  
  
  


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  Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
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  – Ragib Zaman
  May 22 '14 at 8:38
  

  
  
  
  

 | 
show 2 more comments

44

$begingroup$

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.

Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks.

linear-algebra reference-request soft-question book-recommendation

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

$endgroup$

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  get Lang's Linear algebra
  $endgroup$
  – Artem
  May 22 '14 at 2:39
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  $begingroup$
  @Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
  $endgroup$
  – user1551
  May 22 '14 at 4:06
  

  
  
  
  


• 
  
  
  

  
  13
  

  
  
  
  
  
  

  
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  @user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
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  – fkraiem
  May 22 '14 at 7:02
  

  
  
  
  


• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  Please take off the hold. This seems a great question for forums like this one.
  $endgroup$
  – JPi
  May 22 '14 at 7:35
  

  
  
  
  


• 
  
  
  

  
  6
  

  
  
  
  
  
  

  
  $begingroup$
  Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
  $endgroup$
  – Ragib Zaman
  May 22 '14 at 8:38
  

  
  
  
  

 | 
show 2 more comments

44

44

44

33

$begingroup$

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.

Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks.

linear-algebra reference-request soft-question book-recommendation

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

$endgroup$

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.

Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks.

linear-algebra reference-request soft-question book-recommendation

linear-algebra reference-request soft-question book-recommendation

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

share|cite|improve this question

share|cite|improve this question

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

edited May 22 '14 at 6:36

Martin Sleziak

44.7k8117272

44.7k8117272

asked May 21 '14 at 23:15

MikeMike

221143

asked May 21 '14 at 23:15

MikeMike

221143

asked May 21 '14 at 23:15

MikeMike

221143

221143

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  get Lang's Linear algebra
  $endgroup$
  – Artem
  May 22 '14 at 2:39
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
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  @Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
  $endgroup$
  – user1551
  May 22 '14 at 4:06
  

  
  
  
  


• 
  
  
  

  
  13
  

  
  
  
  
  
  

  
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  @user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
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  – fkraiem
  May 22 '14 at 7:02
  

  
  
  
  


• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  Please take off the hold. This seems a great question for forums like this one.
  $endgroup$
  – JPi
  May 22 '14 at 7:35
  

  
  
  
  


• 
  
  
  

  
  6
  

  
  
  
  
  
  

  
  $begingroup$
  Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
  $endgroup$
  – Ragib Zaman
  May 22 '14 at 8:38
  

  
  
  
  

 | 
show 2 more comments

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  get Lang's Linear algebra
  $endgroup$
  – Artem
  May 22 '14 at 2:39
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
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  @Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
  $endgroup$
  – user1551
  May 22 '14 at 4:06
  

  
  
  
  


• 
  
  
  

  
  13
  

  
  
  
  
  
  

  
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  @user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
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  – fkraiem
  May 22 '14 at 7:02
  

  
  
  
  


• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  Please take off the hold. This seems a great question for forums like this one.
  $endgroup$
  – JPi
  May 22 '14 at 7:35
  

  
  
  
  


• 
  
  
  

  
  6
  

  
  
  
  
  
  

  
  $begingroup$
  Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
  $endgroup$
  – Ragib Zaman
  May 22 '14 at 8:38
  

  
  
  
  

4

4

$begingroup$
get Lang's Linear algebra
$endgroup$
– Artem
May 22 '14 at 2:39

$begingroup$
get Lang's Linear algebra
$endgroup$
– Artem
May 22 '14 at 2:39

5

5

$begingroup$
@Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
$endgroup$
– user1551
May 22 '14 at 4:06

$begingroup$
@Artem The OP says that he has already tried Lang and doesn't like it, and you tell him to get Lang? Why?
$endgroup$
– user1551
May 22 '14 at 4:06

13

13

$begingroup$
@user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
$endgroup$
– fkraiem
May 22 '14 at 7:02

$begingroup$
@user1551 Lang's Intro. to Linear Algebra and Linear Algebra are different.
$endgroup$
– fkraiem
May 22 '14 at 7:02

4

4

$begingroup$
Please take off the hold. This seems a great question for forums like this one.
$endgroup$
– JPi
May 22 '14 at 7:35

$begingroup$
Please take off the hold. This seems a great question for forums like this one.
$endgroup$
– JPi
May 22 '14 at 7:35

6

6

$begingroup$
Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
$endgroup$
– Ragib Zaman
May 22 '14 at 8:38

$begingroup$
Perhaps old fashioned but I learned from "Finite dimensional vector spaces" by Paul Halmos.
$endgroup$
– Ragib Zaman
May 22 '14 at 8:38

 | 
show 2 more comments

12 Answers
12

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31

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When I learned linear algebra for the first time, I read through Friedberg, Insel, and Spence. It is slightly more modern than Hoffman/Kunze, is fully rigorous, and has a bunch of useful exercises to work through.

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answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

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  Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
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  – Mike
  May 22 '14 at 11:22
  

  
  
  
  


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  I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 18:25
  

  
  
  
  

add a comment | 

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A great book freely available online is Linear Algebra Done Wrong by Sergei Treil. It covers all the topics you listed and culminates in a discussion of spectral theory, which can be considered a generalized treatment of diagonalization.

Don't be put off by the book's title. It's a play on the popular Linear Algebra Done Right, by Sheldon Axler. Axler's book is also very good, and you might want to check it out.

The classic proof-based linear algebra text is the one by Hoffman and Kunze. I find the two books I listed above easier to read, but you might also consider it. In any case, it is a good reference.

I hope this helps. Please comment if you have any questions.

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edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

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  Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
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  – Mike
  May 21 '14 at 23:30
  

  
  
  
  


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  @Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
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  – Potato
  May 22 '14 at 0:30
  

  
  
  
  

add a comment | 

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Linear Algebra by Hoffman-Kunze. Might be a little too deep, but I believe you'll do fine with it.

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answered May 21 '14 at 23:19

GalactusGalactus

1543

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  It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
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  – Mike
  May 21 '14 at 23:23
  

  
  
  
  


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  Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
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  – Batman
  May 22 '14 at 1:08
  

  
  
  
  


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  Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
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  – user1551
  May 22 '14 at 4:23
  

  
  
  
  

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old, but good: Linear Algebra and its Applications by Gilbert Strang, see http://www.amazon.com/Linear-Algebra-Its-Applications-Edition/dp/0155510053/ref=sr_1_4?ie=UTF8&qid=1400721854&sr=8-4&keywords=strang+algebra

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answered May 22 '14 at 1:24

JPiJPi

3,882620

$endgroup$

add a comment | 

7

$begingroup$

Jim Hefferon at Saint Michael's College, has a pretty well known linear algebra textbook that he provides for free: Linear Algebra.

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answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

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add a comment | 

3

$begingroup$

Linear Algebra and Its Applications, 4e by David C. Lay

This is the #1 rated Linear Algebra book on Amazon. It should be good! I'm using it for a class next semester here at UW, which is ranked #9 in the country for Mathematics.

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answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

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  I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 6:28
  

  
  
  
  

add a comment | 

2

$begingroup$

Linear Algebra by Fraleigh is a good book.

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answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

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add a comment | 

2

$begingroup$

I can recommend you two books. One already mentioned by @JPi and it is Linear Algebra and Its Applications by G. Strang: http://www.amazon.com/dp/0155510053/?tag=stackoverfl08-20

Another book that I like very much is Fundamentals of Matrix Computations by D. S. Watkins: http://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338 You can find there fundamental algorithms that are used in the field of matrix computations.

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answered Jul 6 '14 at 10:04

JanJan

863

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add a comment | 

2

$begingroup$

If you are new to linear algebra ,then you should use "Introduction to Linear Algebra" by Gilbert Strang.In case you posses some knowledge of LA then you can use " Matrix Theory and Linear Algebra" by I.N. Herstein .There are many books on pure linear algebra and computational linear algebra,you can choose as per your requirement and interest.

The two books i have recommended they can serve as foundation for both.

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answered Apr 21 '15 at 21:47

pratikpratik

193114

$endgroup$

add a comment | 

2

$begingroup$

S. Winitzki, Linear Algebra via Exterior Products (free book, coordinate-free approach)

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edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

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add a comment | 

1

$begingroup$

Carl Meyer's Matrix Analysis and Applied Linear Algebra is my favourite. While many of the above books are good, Meyer's book has a great focus on how you actually find the various objects - this is in stark contrast to Hoffman-Kunze who are content with existence proofs.

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answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

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add a comment | 

1

$begingroup$

I can't believe nobody has mentioned Peter Lax's Linear Algebra and Its Applications.

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answered Jan 2 at 11:42

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12 Answers
12

active

oldest

votes

12 Answers
12

active

oldest

votes

active

oldest

votes

active

oldest

votes

31

$begingroup$

When I learned linear algebra for the first time, I read through Friedberg, Insel, and Spence. It is slightly more modern than Hoffman/Kunze, is fully rigorous, and has a bunch of useful exercises to work through.

share|cite|improve this answer

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
  $endgroup$
  – Mike
  May 22 '14 at 11:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 18:25
  

  
  
  
  

add a comment | 

31

$begingroup$

When I learned linear algebra for the first time, I read through Friedberg, Insel, and Spence. It is slightly more modern than Hoffman/Kunze, is fully rigorous, and has a bunch of useful exercises to work through.

share|cite|improve this answer

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
  $endgroup$
  – Mike
  May 22 '14 at 11:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 18:25
  

  
  
  
  

add a comment | 

31

31

31

$begingroup$

When I learned linear algebra for the first time, I read through Friedberg, Insel, and Spence. It is slightly more modern than Hoffman/Kunze, is fully rigorous, and has a bunch of useful exercises to work through.

share|cite|improve this answer

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

$endgroup$

When I learned linear algebra for the first time, I read through Friedberg, Insel, and Spence. It is slightly more modern than Hoffman/Kunze, is fully rigorous, and has a bunch of useful exercises to work through.

share|cite|improve this answer

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

share|cite|improve this answer

share|cite|improve this answer

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

answered May 22 '14 at 0:36

Christopher A. WongChristopher A. Wong

16.2k32957

16.2k32957

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
  $endgroup$
  – Mike
  May 22 '14 at 11:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 18:25
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
  $endgroup$
  – Mike
  May 22 '14 at 11:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 18:25
  

  
  
  
  

$begingroup$
Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
$endgroup$
– Mike
May 22 '14 at 11:22

$begingroup$
Thanks, I conducted some research and found it could be what I am exactly looking for. What about the difficulty of exercises?
$endgroup$
– Mike
May 22 '14 at 11:22

$begingroup$
I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
$endgroup$
– Christopher A. Wong
May 22 '14 at 18:25

$begingroup$
I do not think I found them very difficult, but it was a long time ago. Besides, you may find it more or less difficult depending on your background.
$endgroup$
– Christopher A. Wong
May 22 '14 at 18:25

add a comment | 

20

$begingroup$

A great book freely available online is Linear Algebra Done Wrong by Sergei Treil. It covers all the topics you listed and culminates in a discussion of spectral theory, which can be considered a generalized treatment of diagonalization.

Don't be put off by the book's title. It's a play on the popular Linear Algebra Done Right, by Sheldon Axler. Axler's book is also very good, and you might want to check it out.

The classic proof-based linear algebra text is the one by Hoffman and Kunze. I find the two books I listed above easier to read, but you might also consider it. In any case, it is a good reference.

I hope this helps. Please comment if you have any questions.

share|cite|improve this answer

edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
  $endgroup$
  – Mike
  May 21 '14 at 23:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
  $endgroup$
  – Potato
  May 22 '14 at 0:30
  

  
  
  
  

add a comment | 

20

$begingroup$

A great book freely available online is Linear Algebra Done Wrong by Sergei Treil. It covers all the topics you listed and culminates in a discussion of spectral theory, which can be considered a generalized treatment of diagonalization.

Don't be put off by the book's title. It's a play on the popular Linear Algebra Done Right, by Sheldon Axler. Axler's book is also very good, and you might want to check it out.

The classic proof-based linear algebra text is the one by Hoffman and Kunze. I find the two books I listed above easier to read, but you might also consider it. In any case, it is a good reference.

I hope this helps. Please comment if you have any questions.

share|cite|improve this answer

edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
  $endgroup$
  – Mike
  May 21 '14 at 23:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
  $endgroup$
  – Potato
  May 22 '14 at 0:30
  

  
  
  
  

add a comment | 

20

20

20

$begingroup$

A great book freely available online is Linear Algebra Done Wrong by Sergei Treil. It covers all the topics you listed and culminates in a discussion of spectral theory, which can be considered a generalized treatment of diagonalization.

Don't be put off by the book's title. It's a play on the popular Linear Algebra Done Right, by Sheldon Axler. Axler's book is also very good, and you might want to check it out.

The classic proof-based linear algebra text is the one by Hoffman and Kunze. I find the two books I listed above easier to read, but you might also consider it. In any case, it is a good reference.

I hope this helps. Please comment if you have any questions.

share|cite|improve this answer

edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

$endgroup$

A great book freely available online is Linear Algebra Done Wrong by Sergei Treil. It covers all the topics you listed and culminates in a discussion of spectral theory, which can be considered a generalized treatment of diagonalization.

Don't be put off by the book's title. It's a play on the popular Linear Algebra Done Right, by Sheldon Axler. Axler's book is also very good, and you might want to check it out.

The classic proof-based linear algebra text is the one by Hoffman and Kunze. I find the two books I listed above easier to read, but you might also consider it. In any case, it is a good reference.

I hope this helps. Please comment if you have any questions.

share|cite|improve this answer

edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

share|cite|improve this answer

share|cite|improve this answer

edited May 22 '14 at 0:30

edited May 22 '14 at 0:30

edited May 22 '14 at 0:30

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

answered May 21 '14 at 23:22

PotatoPotato

21.4k1189189

21.4k1189189

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
  $endgroup$
  – Mike
  May 21 '14 at 23:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
  $endgroup$
  – Potato
  May 22 '14 at 0:30
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
  $endgroup$
  – Mike
  May 21 '14 at 23:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
  $endgroup$
  – Potato
  May 22 '14 at 0:30
  

  
  
  
  

$begingroup$
Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
$endgroup$
– Mike
May 21 '14 at 23:30

$begingroup$
Thanks for your consideration. I didn't know about Treil's but I did for Axler and it seems like it overemphasizes the computation part of the topics. Anyway, I will look at it thoroughly.
$endgroup$
– Mike
May 21 '14 at 23:30

$begingroup$
@Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
$endgroup$
– Potato
May 22 '14 at 0:30

$begingroup$
@Mike Well, computational facility is very important to develop! But you can always just skip the overly parts if you find them tedious and feel you don't need any more practice. It's self-study, after all.
$endgroup$
– Potato
May 22 '14 at 0:30

add a comment | 

14

$begingroup$

Linear Algebra by Hoffman-Kunze. Might be a little too deep, but I believe you'll do fine with it.

share|cite|improve this answer

answered May 21 '14 at 23:19

GalactusGalactus

1543

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
  $endgroup$
  – Mike
  May 21 '14 at 23:23
  

  
  
  
  


• 
  
  
  

  
  9
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
  $endgroup$
  – Batman
  May 22 '14 at 1:08
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
  $endgroup$
  – user1551
  May 22 '14 at 4:23
  

  
  
  
  

add a comment | 

14

$begingroup$

Linear Algebra by Hoffman-Kunze. Might be a little too deep, but I believe you'll do fine with it.

share|cite|improve this answer

answered May 21 '14 at 23:19

GalactusGalactus

1543

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
  $endgroup$
  – Mike
  May 21 '14 at 23:23
  

  
  
  
  


• 
  
  
  

  
  9
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
  $endgroup$
  – Batman
  May 22 '14 at 1:08
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
  $endgroup$
  – user1551
  May 22 '14 at 4:23
  

  
  
  
  

add a comment | 

14

14

14

$begingroup$

Linear Algebra by Hoffman-Kunze. Might be a little too deep, but I believe you'll do fine with it.

share|cite|improve this answer

answered May 21 '14 at 23:19

GalactusGalactus

1543

$endgroup$

Linear Algebra by Hoffman-Kunze. Might be a little too deep, but I believe you'll do fine with it.

share|cite|improve this answer

answered May 21 '14 at 23:19

GalactusGalactus

1543

share|cite|improve this answer

share|cite|improve this answer

answered May 21 '14 at 23:19

GalactusGalactus

1543

answered May 21 '14 at 23:19

GalactusGalactus

1543

answered May 21 '14 at 23:19

GalactusGalactus

1543

1543

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
  $endgroup$
  – Mike
  May 21 '14 at 23:23
  

  
  
  
  


• 
  
  
  

  
  9
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
  $endgroup$
  – Batman
  May 22 '14 at 1:08
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
  $endgroup$
  – user1551
  May 22 '14 at 4:23
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
  $endgroup$
  – Mike
  May 21 '14 at 23:23
  

  
  
  
  


• 
  
  
  

  
  9
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
  $endgroup$
  – Batman
  May 22 '14 at 1:08
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  $begingroup$
  Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
  $endgroup$
  – user1551
  May 22 '14 at 4:23
  

  
  
  
  

$begingroup$
It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
$endgroup$
– Mike
May 21 '14 at 23:23

$begingroup$
It already deals with abstract algebra, which I'm not yet familiar with. I went trough some books and I found Axler's too computational and a bit superficial. Hefferon's looks somehow good.
$endgroup$
– Mike
May 21 '14 at 23:23

9

9

$begingroup$
Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
$endgroup$
– Batman
May 22 '14 at 1:08

$begingroup$
Axler is too computational and superficial? Are you actually doing problems and re-working proofs, or are you just skimming the text?
$endgroup$
– Batman
May 22 '14 at 1:08

5

5

$begingroup$
Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
$endgroup$
– user1551
May 22 '14 at 4:23

$begingroup$
Axler is a good read, but it's more suitable for reflections on than for introduction to the subject. The main theme of the book is to criticise the (ab)use of determinant. While the author does have a point (that's why I think the book is good for reflections), his "det-phobia" has some undesirable consequences. E.g. (IIRC) in order to avoid using determinants, he has to define characteristic polynomials for real and complex matrices differently. I don't see how abandoning a unified approach is "linear algebra done right".
$endgroup$
– user1551
May 22 '14 at 4:23

add a comment | 

9

$begingroup$

old, but good: Linear Algebra and its Applications by Gilbert Strang, see http://www.amazon.com/Linear-Algebra-Its-Applications-Edition/dp/0155510053/ref=sr_1_4?ie=UTF8&qid=1400721854&sr=8-4&keywords=strang+algebra

share|cite|improve this answer

answered May 22 '14 at 1:24

JPiJPi

3,882620

$endgroup$

add a comment | 

9

$begingroup$

old, but good: Linear Algebra and its Applications by Gilbert Strang, see http://www.amazon.com/Linear-Algebra-Its-Applications-Edition/dp/0155510053/ref=sr_1_4?ie=UTF8&qid=1400721854&sr=8-4&keywords=strang+algebra

share|cite|improve this answer

answered May 22 '14 at 1:24

JPiJPi

3,882620

$endgroup$

add a comment | 

9

9

9

$begingroup$

old, but good: Linear Algebra and its Applications by Gilbert Strang, see http://www.amazon.com/Linear-Algebra-Its-Applications-Edition/dp/0155510053/ref=sr_1_4?ie=UTF8&qid=1400721854&sr=8-4&keywords=strang+algebra

share|cite|improve this answer

answered May 22 '14 at 1:24

JPiJPi

3,882620

$endgroup$

old, but good: Linear Algebra and its Applications by Gilbert Strang, see http://www.amazon.com/Linear-Algebra-Its-Applications-Edition/dp/0155510053/ref=sr_1_4?ie=UTF8&qid=1400721854&sr=8-4&keywords=strang+algebra

share|cite|improve this answer

answered May 22 '14 at 1:24

JPiJPi

3,882620

share|cite|improve this answer

share|cite|improve this answer

answered May 22 '14 at 1:24

JPiJPi

3,882620

answered May 22 '14 at 1:24

JPiJPi

3,882620

answered May 22 '14 at 1:24

JPiJPi

3,882620

3,882620

add a comment | 

add a comment | 

7

$begingroup$

Jim Hefferon at Saint Michael's College, has a pretty well known linear algebra textbook that he provides for free: Linear Algebra.

share|cite|improve this answer

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

$endgroup$

add a comment | 

7

$begingroup$

Jim Hefferon at Saint Michael's College, has a pretty well known linear algebra textbook that he provides for free: Linear Algebra.

share|cite|improve this answer

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

$endgroup$

add a comment | 

7

7

7

$begingroup$

Jim Hefferon at Saint Michael's College, has a pretty well known linear algebra textbook that he provides for free: Linear Algebra.

share|cite|improve this answer

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

$endgroup$

Jim Hefferon at Saint Michael's College, has a pretty well known linear algebra textbook that he provides for free: Linear Algebra.

share|cite|improve this answer

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

share|cite|improve this answer

share|cite|improve this answer

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

answered May 22 '14 at 4:49

Finding Nemo 2 is happening.Finding Nemo 2 is happening.

3131412

3131412

add a comment | 

add a comment | 

3

$begingroup$

Linear Algebra and Its Applications, 4e by David C. Lay

This is the #1 rated Linear Algebra book on Amazon. It should be good! I'm using it for a class next semester here at UW, which is ranked #9 in the country for Mathematics.

share|cite|improve this answer

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 6:28
  

  
  
  
  

add a comment | 

3

$begingroup$

Linear Algebra and Its Applications, 4e by David C. Lay

This is the #1 rated Linear Algebra book on Amazon. It should be good! I'm using it for a class next semester here at UW, which is ranked #9 in the country for Mathematics.

share|cite|improve this answer

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 6:28
  

  
  
  
  

add a comment | 

3

3

3

$begingroup$

Linear Algebra and Its Applications, 4e by David C. Lay

This is the #1 rated Linear Algebra book on Amazon. It should be good! I'm using it for a class next semester here at UW, which is ranked #9 in the country for Mathematics.

share|cite|improve this answer

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

$endgroup$

Linear Algebra and Its Applications, 4e by David C. Lay

This is the #1 rated Linear Algebra book on Amazon. It should be good! I'm using it for a class next semester here at UW, which is ranked #9 in the country for Mathematics.

share|cite|improve this answer

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

share|cite|improve this answer

share|cite|improve this answer

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

answered May 22 '14 at 5:25

Ricky MutschlechnerRicky Mutschlechner

1367

1367

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 6:28
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
  $endgroup$
  – Christopher A. Wong
  May 22 '14 at 6:28
  

  
  
  
  

2

2

$begingroup$
I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
$endgroup$
– Christopher A. Wong
May 22 '14 at 6:28

$begingroup$
I do not think that Lay's book covers the subject in the level of detail that the OP is looking for.
$endgroup$
– Christopher A. Wong
May 22 '14 at 6:28

add a comment | 

2

$begingroup$

Linear Algebra by Fraleigh is a good book.

share|cite|improve this answer

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

$endgroup$

add a comment | 

2

$begingroup$

Linear Algebra by Fraleigh is a good book.

share|cite|improve this answer

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

$endgroup$

add a comment | 

2

2

2

$begingroup$

Linear Algebra by Fraleigh is a good book.

share|cite|improve this answer

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

$endgroup$

Linear Algebra by Fraleigh is a good book.

share|cite|improve this answer

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

share|cite|improve this answer

share|cite|improve this answer

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

answered May 21 '14 at 23:30

AsdrubalBeltranAsdrubalBeltran

2,8161916

2,8161916

add a comment | 

add a comment | 

2

$begingroup$

I can recommend you two books. One already mentioned by @JPi and it is Linear Algebra and Its Applications by G. Strang: http://www.amazon.com/dp/0155510053/?tag=stackoverfl08-20

Another book that I like very much is Fundamentals of Matrix Computations by D. S. Watkins: http://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338 You can find there fundamental algorithms that are used in the field of matrix computations.

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answered Jul 6 '14 at 10:04

JanJan

863

$endgroup$

add a comment | 

2

$begingroup$

I can recommend you two books. One already mentioned by @JPi and it is Linear Algebra and Its Applications by G. Strang: http://www.amazon.com/dp/0155510053/?tag=stackoverfl08-20

Another book that I like very much is Fundamentals of Matrix Computations by D. S. Watkins: http://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338 You can find there fundamental algorithms that are used in the field of matrix computations.

share|cite|improve this answer

answered Jul 6 '14 at 10:04

JanJan

863

$endgroup$

add a comment | 

2

2

2

$begingroup$

I can recommend you two books. One already mentioned by @JPi and it is Linear Algebra and Its Applications by G. Strang: http://www.amazon.com/dp/0155510053/?tag=stackoverfl08-20

Another book that I like very much is Fundamentals of Matrix Computations by D. S. Watkins: http://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338 You can find there fundamental algorithms that are used in the field of matrix computations.

share|cite|improve this answer

answered Jul 6 '14 at 10:04

JanJan

863

$endgroup$

I can recommend you two books. One already mentioned by @JPi and it is Linear Algebra and Its Applications by G. Strang: http://www.amazon.com/dp/0155510053/?tag=stackoverfl08-20

Another book that I like very much is Fundamentals of Matrix Computations by D. S. Watkins: http://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338 You can find there fundamental algorithms that are used in the field of matrix computations.

share|cite|improve this answer

answered Jul 6 '14 at 10:04

JanJan

863

share|cite|improve this answer

share|cite|improve this answer

answered Jul 6 '14 at 10:04

JanJan

863

answered Jul 6 '14 at 10:04

JanJan

863

answered Jul 6 '14 at 10:04

JanJan

863

863

add a comment | 

add a comment | 

2

$begingroup$

If you are new to linear algebra ,then you should use "Introduction to Linear Algebra" by Gilbert Strang.In case you posses some knowledge of LA then you can use " Matrix Theory and Linear Algebra" by I.N. Herstein .There are many books on pure linear algebra and computational linear algebra,you can choose as per your requirement and interest.

The two books i have recommended they can serve as foundation for both.

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answered Apr 21 '15 at 21:47

pratikpratik

193114

$endgroup$

add a comment | 

2

$begingroup$

If you are new to linear algebra ,then you should use "Introduction to Linear Algebra" by Gilbert Strang.In case you posses some knowledge of LA then you can use " Matrix Theory and Linear Algebra" by I.N. Herstein .There are many books on pure linear algebra and computational linear algebra,you can choose as per your requirement and interest.

The two books i have recommended they can serve as foundation for both.

share|cite|improve this answer

answered Apr 21 '15 at 21:47

pratikpratik

193114

$endgroup$

add a comment | 

2

2

2

$begingroup$

If you are new to linear algebra ,then you should use "Introduction to Linear Algebra" by Gilbert Strang.In case you posses some knowledge of LA then you can use " Matrix Theory and Linear Algebra" by I.N. Herstein .There are many books on pure linear algebra and computational linear algebra,you can choose as per your requirement and interest.

The two books i have recommended they can serve as foundation for both.

share|cite|improve this answer

answered Apr 21 '15 at 21:47

pratikpratik

193114

$endgroup$

If you are new to linear algebra ,then you should use "Introduction to Linear Algebra" by Gilbert Strang.In case you posses some knowledge of LA then you can use " Matrix Theory and Linear Algebra" by I.N. Herstein .There are many books on pure linear algebra and computational linear algebra,you can choose as per your requirement and interest.

The two books i have recommended they can serve as foundation for both.

share|cite|improve this answer

answered Apr 21 '15 at 21:47

pratikpratik

193114

share|cite|improve this answer

share|cite|improve this answer

answered Apr 21 '15 at 21:47

pratikpratik

193114

answered Apr 21 '15 at 21:47

pratikpratik

193114

answered Apr 21 '15 at 21:47

pratikpratik

193114

193114

add a comment | 

add a comment | 

2

$begingroup$

S. Winitzki, Linear Algebra via Exterior Products (free book, coordinate-free approach)

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edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

$endgroup$

add a comment | 

2

$begingroup$

S. Winitzki, Linear Algebra via Exterior Products (free book, coordinate-free approach)

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edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

$endgroup$

add a comment | 

2

2

2

$begingroup$

S. Winitzki, Linear Algebra via Exterior Products (free book, coordinate-free approach)

share|cite|improve this answer

edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

$endgroup$

S. Winitzki, Linear Algebra via Exterior Products (free book, coordinate-free approach)

share|cite|improve this answer

edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

share|cite|improve this answer

share|cite|improve this answer

edited Oct 30 '17 at 18:17

edited Oct 30 '17 at 18:17

edited Oct 30 '17 at 18:17

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

answered Oct 30 '17 at 18:03

DSblizzardDSblizzard

470414

470414

add a comment | 

add a comment | 

1

$begingroup$

Carl Meyer's Matrix Analysis and Applied Linear Algebra is my favourite. While many of the above books are good, Meyer's book has a great focus on how you actually find the various objects - this is in stark contrast to Hoffman-Kunze who are content with existence proofs.

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answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

$endgroup$

add a comment | 

1

$begingroup$

Carl Meyer's Matrix Analysis and Applied Linear Algebra is my favourite. While many of the above books are good, Meyer's book has a great focus on how you actually find the various objects - this is in stark contrast to Hoffman-Kunze who are content with existence proofs.

share|cite|improve this answer

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

$endgroup$

add a comment | 

1

1

1

$begingroup$

Carl Meyer's Matrix Analysis and Applied Linear Algebra is my favourite. While many of the above books are good, Meyer's book has a great focus on how you actually find the various objects - this is in stark contrast to Hoffman-Kunze who are content with existence proofs.

share|cite|improve this answer

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

$endgroup$

Carl Meyer's Matrix Analysis and Applied Linear Algebra is my favourite. While many of the above books are good, Meyer's book has a great focus on how you actually find the various objects - this is in stark contrast to Hoffman-Kunze who are content with existence proofs.

share|cite|improve this answer

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

share|cite|improve this answer

share|cite|improve this answer

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

answered Jan 1 '18 at 23:26

max_zornmax_zorn

3,33861329

3,33861329

add a comment | 

add a comment | 

1

$begingroup$

I can't believe nobody has mentioned Peter Lax's Linear Algebra and Its Applications.

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answered Jan 2 at 11:42

community wiki

YuiTo Cheng

$endgroup$

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1

$begingroup$

I can't believe nobody has mentioned Peter Lax's Linear Algebra and Its Applications.

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answered Jan 2 at 11:42

community wiki

YuiTo Cheng

$endgroup$

add a comment | 

1

1

1

$begingroup$

I can't believe nobody has mentioned Peter Lax's Linear Algebra and Its Applications.

share|cite|improve this answer

answered Jan 2 at 11:42

community wiki

YuiTo Cheng

$endgroup$

I can't believe nobody has mentioned Peter Lax's Linear Algebra and Its Applications.

share|cite|improve this answer

answered Jan 2 at 11:42

community wiki

YuiTo Cheng

share|cite|improve this answer

share|cite|improve this answer

answered Jan 2 at 11:42

answered Jan 2 at 11:42

answered Jan 2 at 11:42

community wiki

YuiTo Cheng

community wiki

YuiTo Cheng

community wiki

YuiTo Cheng

add a comment | 

add a comment | 

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