1. Find the characteristic polynomial, eigenvalues and corresponding eigenvectors of the matrices give below: (a) 5...

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1. Find the characteristic polynomial, eigenvalues and corresponding eigenvectors of the matrices give below: (a) 5 -3] T = (b) 4 0 0] S = 5 3 2 -2 0 2] 1 4 -1 -2 A = -2 -3 1. -4 6 -1 2. (a) Diagonalize the matrices of part (b) and (c) by using algorithm A = PDP- (b) Determine T0 (matrix from Q1) by using Diagonalization theorem. 1. Find the characteristic polynomial, eigenvalues and corresponding eigenvectors of the matrices give below: (a) 5 -3] T = (b) 4 0 0] S = 5 3 2 -2 0 2] 1 4 -1 -2 A = -2 -3 1. -4 6 -1 2. (a) Diagonalize the matrices of part (b) and (c) by using algorithm A = PDP- (b) Determine T0 (matrix from Q1) by using Diagonalization theorem.