What are the eigenvalues of the following matrix C ? C = A" - 5A' + 2A* + 2A? + 2A + 101 2 1 0 Let A = 1 2 2 13 1 (1) {3+ v2,3 v2,-1} (2) {3+iv2, 3 iv2, -1} (3) (6, 6, 2} (4) {3, 3, 1) (5) (6+ v2, 6 v2, 2} (6) (6+ iv2,6 iv2,2) (7) {iv2,-iv2,-1} (8) {6,3, 1} Hint: Use the Cayley-Hamilton theorem.