if a matrix A is diagonalizable, it means that A = PDP^-1, where D is a diagonal matrix.
hence A^k = (PDP^-1)^k = P(D^k)P^-1.
D^k should be easy to compute. can you see that A^k converges if D^k does?
ImageShack® - Online Photo and Video Hosting
How do I do part (iii)?
I could do part i and ii, just part iii im stuck.
Thanks..