Consider the system shown in Figure 2. The system state space model is given: x = Ax + Bu y = Cx where 1 ^ = 6 + 27-0 =17--1 A 0 0 0 -2 -3. 1 B and C = [1 0 0] 1. Determine the stability of the uncompensated system. 2. Determine the controllability of uncompensated system. 3. Determine the state-feedback gain matrix K such that the closed-loop poles are located at S-1+j3,s = -5. k X = AX + Bu Figure 2 X2 (1) X3 y = Cx y = x