Let A = [23]. Find, a) Find the eigenvalues and eigenvectors of A. b) Verify that det(A) is the product of its eigenvalues. 4 c) Is matrix A diagonalizable? If yes, find matrix P and diagonal matrix D such that A = PDP-1, otherw explain why not. d) If matrix A is diagonalizable, compute A" and write the final result as a 2 2 matrix.