Trace of the matrix power Say I have matrix $A = \begin{bmatrix}
a & 0 & -c\\
0 & b & 0\\
-c & 0 & a 
\end{bmatrix}$.
What is matrix trace
tr(A^200)
Thanks much! 

You just need to calculate Eigen values bcoz sum of eigen values =$tr(A)$ and if "a" is the eigen value of matrix $A$ then "$a^n$" is the eigen value of $A^n$.
thus,
$$Tr(A^{200})=b^{200}+(a−c)^{200}+(a+c)^{200}$$
