Consider the linear time-invariant system * = Ax and the matrices [-1 0 0 1 0-1, A3 1 0 0 -1 [-6 A = 3 L-4 [-2 A4 = 0 1-1 A = -2 6 0 -3 1 -2 0 2 0 l-1 1 2 0 -4, A = 3 3 -1, A5 = 1 3 -4 -1,Ag = 0 5 1 -2] 1 3 0 0 -1, A6 = 3 1 -4 0 3 0 1 2 -2 0 -1 -1,Ag = 1.4,. -1 1 1 3 1 -2 0 [-10 9 7 3 -8 -7 -6 5 3 -1 1 -5 a) Find the eigenvalues and eigenvectors of the matrices A and Aj. b) Find the Jordan form J and J2 of the matrices A and A; using suitable transformation matrix S. c) Using a), compute et for each matrix A and Aj. i=your order in the list, j=i+1 (mod9) Consider the linear time-invariant system * = Ax and the matrices [-1 0 0 1 0-1, A3 1 0 0 -1 [-6 A = 3 L-4 [-2 A4 = 0 1-1 A = -2 6 0 -3 1 -2 0 2 0 l-1 1 2 0 -4, A = 3 3 -1, A5 = 1 3 -4 -1,Ag = 0 5 1 -2] 1 3 0 0 -1, A6 = 3 1 -4 0 3 0 1 2 -2 0 -1 -1,Ag = 1.4,. -1 1 1 3 1 -2 0 [-10 9 7 3 -8 -7 -6 5 3 -1 1 -5 a) Find the eigenvalues and eigenvectors of the matrices A and Aj. b) Find the Jordan form J and J2 of the matrices A and A; using suitable transformation matrix S. c) Using a), compute et for each matrix A and Aj. i=your order in the list, j=i+1 (mod9)