2 Let A = -1 Find two different diagonal matrices D and the corresponding matrix S such that A = SDS-1. 0 -1 -2 D = S1= 0 -2 -3 0 -1 -2 D. = S2 = 0 -2Attempt 1: 10 attempts remaining. 101 Let A = 8 Find a matrix S, a diagonal matrix D and S-1 such that A = SDS-1. S = D = S-1 = Submit answer Next itemAttempt 1: 10 attempts remaining. 2 168 n If n is a positive integer, then 1S 4 2 -2 1687 Hint: Diagonalize the matrix 4 first. Note that your answer will be a 2 formula that involves n. Be careful with parentheses.) Submit answerAttempt 1: 10 attempts remaining. Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are A1 = 3, 12 = -1, and Ag = 1. If V1 = [1 0 0], v2 = [1 1 0], v3 =[0 1 1] are eigenvectors of A corresponding to 1, 12, and 13, respectively, then factor A into a product XDX-1 with D diagonal, and use this factorization to find A5. A* = Submit answer Next item