# Math Help - polynomial matrix - help me^_^

1. ## polynomial matrix - help me^_^

If $A=\left[ \begin{matrix} 2 & 1 & 1 \\ 1 & 2 & 0 \\ 1 & 1 & 2 \end{matrix} \right]$, then $A^{2009}=...$

2. Originally Posted by GTK X Hunter
If $A=\left[ \begin{matrix} 2 & 1 & 1 \\ 1 & 2 & 0 \\ 1 & 1 & 2 \end{matrix} \right]$, then $A^{2009}=...$
Did you try computing A^1, A^2, A^3? ....most probably if you do that you shoud see a pattern that you can use?

3. Originally Posted by aman_cc
Did you try computing A^1, A^2, A^3? ....most probably if you do that you shoud see a pattern that you can use?
yeap i have done it but i cant see any pattern...