Linear Algebra and Matlab Need Help Coding

15 -115 25 . Let A2-18 5 6 -60 17 (a) Execute the command [P,D]-eig(A) to diagonalize A. b) Ue MATLAB to verity that A- PDP-1 (c)Use the previous results to give the eigenvalues of A, and give an eigenvector for each eigenvalue. d) MATLAB produces eigenvectors in such a way that they have length 1. A consequence is that the entries look a little messy. The eigenvectors in this example can all be rescaled so that their entries are all single digit integers. Do this rescaling to give nicer looking eigenvectors. (Hint: try multiplying each vector by its largest denominator and then divide by the smallest thing you see (e) Enter your rescaled eigenvectors as the columns of a matrix Q. Then verify that A = QDQ (Any basis of eigenvectors can be used to diagonalize a matrix.)