# polynomial matrix - help me^_^

• October 18th 2009, 12:43 AM
GTK X Hunter
polynomial matrix - help me^_^
If $A=\left[ \begin{matrix} 2 & 1 & 1 \\ 1 & 2 & 0 \\ 1 & 1 & 2 \end{matrix} \right]$, then $A^{2009}=...$
• October 18th 2009, 12:50 AM
aman_cc
Quote:

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?
• October 18th 2009, 02:47 AM
GTK X Hunter
Quote:

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...