Use Matlab to solve this

Let A = [-8 15 15 -8 13 10 3 -5 -4]. (a) Use MATLAB to compute A^n for n = 2, 3, 4, 5, 6, 7, 8. Do you notice a pattern? (b) Have MATLAB produce an invertible P and a diagonal D such that A = PDP^-1, Notice that complex numbers get involved. (c) To understand A^n, it suffices to understand D^n because A^n = PD^n P^-1. Describe the pattern that emerges when we consider powers of D: D, D^2, D^3, D^4, etc. (d) Without doing a computation in MATLAB, determine A^1000001