$\displaystyle A=\begin{bmatrix}0 & 1 & 0\\ 1 & 0 & 1\\ 1 & 0 & 0\end{bmatrix}$

How can I use Cayley–Hamilton theorem to calculate $\displaystyle A^{12}$?

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- Apr 27th 2013, 02:57 AMStormeyusing Cayley–Hamilton theorem
$\displaystyle A=\begin{bmatrix}0 & 1 & 0\\ 1 & 0 & 1\\ 1 & 0 & 0\end{bmatrix}$

How can I use Cayley–Hamilton theorem to calculate $\displaystyle A^{12}$? - Apr 27th 2013, 03:14 AMStormeyRe: using Cayley–Hamilton theorem
never mind.

found it in wikipedia. :)