Diagonalize the matrices if possible. Write P and D and verify AP= PD. Show all work, no calculators 1) Given A = . Find eigenvalues and corresponding eigenvectors. Diagonalize matrix A 2) Given A = . Find eigenvalues and corresponding eigenvectors. Diagonalize matrix A 4 -2 3) Given A = 0 and 1 = 1,2,3. Use integer values in eigenvectors. Diagonalize matrix A 1 34) Compute A4 if A = 1-15 6 1 a) Find eigenvalues for A. b) Find eigenvector for each eigenvalue. c) Diagonalize A. c) Find A4 using the diagonalized representation of A. 5) Use A = PDP-1 to compute A4.. Given A =. a 13(a - b) b and A = [3 9] [8 8][ 's i] 4 16 6) Given A = NV 5 8 and 1 = 1,3. Use integer values in eigenvectors. Diagonalize matrix -2 -2 -5