Enter this matrix in MATLAB: > > F = [0 1; 1] Use MATLAB to find an invertible matrix P and a diagonal matrix D such that PDP-1 = F: b. Use MATLAB to compare F1O and PDIOp-1. C. Let f = (1, 1)T. Compute Ff; FZf, F3f; F4f;and FSf: (You don't need to include the input and output for these:) Describe the pattern in your answers d. Consider the Fibonacci sequence {fn} = {1, 1,2, 3, 5, 8, 13_}, where each term is formed by taking the sum of the previous two. If we start with a vector f = (fo fi)T, then Ff = (f1, fo + fi)T (fi, f2)T, and in general Fnf = (fr fn+7)T. Here, we're setting both fo and f1 equal to 1. Given this, compute f30: