Consider a system described by the following state-space equations: (a) Determ...

Consider a system described by the following state-space equations:

(a) Determine the characteristic polynomial and the eigenvalues of the system.

(b) Determine the state transition matrix ?(n) for n ≥ 0.

(c) Determine the system function and the impulse response of the system.

(d) Compute the step response of the system if .

(e) Sketch a state-space realization for the system.