matrix is:

0,0,1

1,0,0

0,1,0

Find eigenvalues of matrix.

Really stuck on how to do this as I work it out using the only method I know and get (0-λ ) (λ^2) + (λ ). Obviously a solution is 1 but I need to find two more??

Thanks.

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- Nov 16th 2008, 06:09 AMgeo3matrix eigenvalues **URGENT**
matrix is:

0,0,1

1,0,0

0,1,0

Find eigenvalues of matrix.

Really stuck on how to do this as I work it out using the only method I know and get (0-λ ) (λ^2) + (λ ). Obviously a solution is 1 but I need to find two more??

Thanks. - Nov 16th 2008, 06:39 AMRapha
- Nov 16th 2008, 06:45 AMgeo3
how did you calculate 1-t^3??

- Nov 16th 2008, 06:46 AMgeo3
- Nov 16th 2008, 06:50 AMRapha
$\displaystyle det \begin{pmatrix} 0-t & 0 & 1 \\ 1 & 0 -t & 0 \\ 0&1&0-t \end{pmatrix}$

$\displaystyle det \begin{pmatrix} -t & 0 & 1 \\ 1 & -t & 0 \\ 0&1&-t \end{pmatrix}$

Sarrus:

(-t)*(-t)*(-t) + 0*0*0 + 1*1*1 - 1*(-t)*0 - 0*1*(-t) - (-t)*0*1 = -t^3 +1