Mixing
Let A be a diagonal matrix whose characteristic polynomial is...
0
$begingroup$
Let V be the set of all $;72times72;$ matrices commuting with A. Let $W$ be the subset of $V$ consisting of all diagonal matrices. What is the dimension of $W$ and $V$?
linear-algebra
edited Jan 27 at 8:38
DonAntonio
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
$endgroup$
add a comment |
0
$begingroup$
Let V be the set of all $;72times72;$ matrices commuting with A. Let $W$ be the subset of $V$ consisting of all diagonal matrices. What is the dimension of $W$ and $V$?
linear-algebra
edited Jan 27 at 8:38
DonAntonio
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
$endgroup$
1
$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40
add a comment |
0
0
0
$begingroup$
Let V be the set of all $;72times72;$ matrices commuting with A. Let $W$ be the subset of $V$ consisting of all diagonal matrices. What is the dimension of $W$ and $V$?
linear-algebra
edited Jan 27 at 8:38
DonAntonio
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
$endgroup$
Let V be the set of all $;72times72;$ matrices commuting with A. Let $W$ be the subset of $V$ consisting of all diagonal matrices. What is the dimension of $W$ and $V$?
linear-algebra
linear-algebra
edited Jan 27 at 8:38
DonAntonio
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
edited Jan 27 at 8:38
DonAntonio
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
edited Jan 27 at 8:38
DonAntonio
180k1494233
edited Jan 27 at 8:38
DonAntonio
180k1494233
edited Jan 27 at 8:38
DonAntonio
180k1494233
180k1494233
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
asked Jan 27 at 8:32
Aabhas VijAabhas Vij
11
11
1
$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40
add a comment |
1
$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40
1
1
$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40
$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40
add a comment |
0
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$begingroup$
What is the minimal polynomial of $;A;$ ? What is its Jordan Canonical Form (JCF)? Can you see how to work with the Jordan blocks in this JCF? Show some self work...
$endgroup$
– DonAntonio
Jan 27 at 8:40