Answer Happy

Monsider the matrix 1 0 2 A= 0 1 0 2 0 1 a) Compute the characteristic polynomial of A. b) Verify that the eigenvalues of A are 1 =-1,2 = 1, 1 = 3. c) Find eigenvectors corresponding to the eigenvalues in part (b). d) Construct matrices P and D such that A = P-1DP.