Question 4 A system is defined by the state equation: where x1and x2 are the states. The system matrix is defined as: -3 a) Determine the eigenvalues of A, and hence construct the spectral matrix, S, and the exponential of the S matrix, est. b) Derive the corresponding eigenvectors of A, and hence construct the modal matrix, M, and its inverse M-1 C) Determine the zero-input time response , x1(t) and X2(t), assuming the initial conditions: x1 (0) = 0; X2 (0) = 1, using: x = MeStM-1xo d) Verify your answer using any appropriate method