(Solved): Given that the matrix A=113 [ = 2 5 -1 0 has complex elgenvalue X= 1+2i and the corresponding eigen ...

Given that the matrix A=113 [ = 2 5 -1 0 has complex elgenvalue X= 1+2i and the corresponding eigenvector 1 V= -1 = [+2), a fundamental matrix for the system x' = Ax is X O er [cos (21 es (cos(2t) - 2 sin(2t) sin(2t) + 2 cos(2+)] - cos(2) - sin(2) (20) o cos(21) sin(2) cos(2+) -sin(21)] o e cos(26) - 2 sin(2t) sin(2t) + 2 cos(21)] -cos(21) sin() 2. Hr205(2) (cos(2) er [cos(21) (cos(2) + 2 sin(2t) sin(21) - 2 cos(2+) - cos(2) - sin(2t) 100-(24)