Consider a linear system i = A.r + Bu with output y = Cx + Du and x(0) = $. Show that for an exponentially weighted sinusoidal complex input u(t) = ucede = ucct[cos(wt) + i sin(wt)] (1 = 0 +iw) such that \I A is invertible, we have y(t) = Ce At [& - (XI A)-'Bue] + [C(AI A)-+B+D](ueet). Consider a linear system i = A.r + Bu with output y = Cx + Du and x(0) = $. Show that for an exponentially weighted sinusoidal complex input u(t) = ucede = ucct[cos(wt) + i sin(wt)] (1 = 0 +iw) such that \I A is invertible, we have y(t) = Ce At [& - (XI A)-'Bue] + [C(AI A)-+B+D](ueet)