If n is a positive integer, then 2x2 matrix [-32,252] [-4,32] raised to the power of n is....
I know that first I should diagonalize the given matrix, something I also seem to have a hard time with.
The Attempt at a Solution
I determined the eigenvalues to be 32 and -32 and determined eigenvectors to be 16,1 and 252,1 , respectively. I am not sure if this is right or where to even go from there....