Mixing
Eigenvector, eigenvalues and ker(f-xid(v))
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Could please someone explain to me why if I have a function that has an eigenvalue x | f(v) =xv for some v,
Ker(f-x(idv)) is a subset not equal of Ker(f-x(idv)) ^2 that is a subset not equal to ker(f-x(idv)) ^3 etc? In particular, why can't it be equal?
eigenvalues-eigenvectors
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
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add a comment |
$begingroup$
Could please someone explain to me why if I have a function that has an eigenvalue x | f(v) =xv for some v,
Ker(f-x(idv)) is a subset not equal of Ker(f-x(idv)) ^2 that is a subset not equal to ker(f-x(idv)) ^3 etc? In particular, why can't it be equal?
eigenvalues-eigenvectors
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
$endgroup$
$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55
add a comment |
$begingroup$
Could please someone explain to me why if I have a function that has an eigenvalue x | f(v) =xv for some v,
Ker(f-x(idv)) is a subset not equal of Ker(f-x(idv)) ^2 that is a subset not equal to ker(f-x(idv)) ^3 etc? In particular, why can't it be equal?
eigenvalues-eigenvectors
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
$endgroup$
Could please someone explain to me why if I have a function that has an eigenvalue x | f(v) =xv for some v,
Ker(f-x(idv)) is a subset not equal of Ker(f-x(idv)) ^2 that is a subset not equal to ker(f-x(idv)) ^3 etc? In particular, why can't it be equal?
eigenvalues-eigenvectors
eigenvalues-eigenvectors
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
asked Jan 21 at 15:52
Milena Carlini Milena Carlini
141
141
$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55
add a comment |
$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55
$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55
$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55
add a comment |
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$begingroup$
Try some example, where $f$ has a $3times 3$-matrix and compute the spaces $ker((f-xcdot id)^k)$ yourself.
$endgroup$
– Dietrich Burde
Jan 21 at 15:55