Consider again the spring-mass-damper system of Problem P3.1 when M = 1, b = 6, and k = 8. (a)

Determine whether the system is stable by finding the characteristic equation with the aid of the A matrix.

(b) Determine the state transition matrix of the system.

(c) When the initial velocity is 1 m/s and initial displacement is 1 m/s, determine the response of the system with F(t) = 0.