Problem 2. System Responses A system has the following state equations: x(t) = 1 1 -2 -2 0 x+ U, y(t) = [10] x (a) Assuming that the system is initially at rest (ie, r(0) = [0_0]), [00]), obtain the step and impulse responses of the system. (20 points) (b) Let x(0) = [0.5 0.1] and u(t) = e, t 0. Obtain the response of the system (i.e., y(t)). (c) Use MATLAB to verify the obtained results above. (20 points) (20 points)