*= [{9_14] x + [2] u y [13]x+[0]u 3) Consider the state-space model above. Please answer the questions below by hand (No MATLAB is necessary for this question.) a) Can we place the poles of this system to anywhere we want if we could measure the vector x(t)? b) Please obtain the controllability matrix for this system and check whether it is invertible. c) Assume that we changed the vector C to be [31] instead. Would the answer to (a) change? Why? d) If we had no means to measure x(t), could we still place the poles of the system to anywhere we want? If so, how?