If you have a matrix, and raise it to the power n, what would be the effect on the eigenvalues and the eigenvectors?
Thanks
In your head (honest: the proof is very easy), but I guess books in algebra or linear algebra must deal with this, though I think there's a good chance it'll be an exercise because, as already said, it is very easy. Have you REALLY tried to prove it by yourself already?
Tonio