Diagonalize matrix and find rotation-dilation matrix
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
add a comment |
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
edited Dec 15 '18 at 8:41
Gaby Alfonso
839316
839316
asked Dec 15 '18 at 8:14
kelp99kelp99
13
asked Dec 15 '18 at 8:14
kelp99kelp99
13
asked Dec 15 '18 at 8:14
kelp99kelp99
13
13
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
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$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06