The control system, shown in Fig. 5.1 , has the following state equations in matrix form:

Which one of the following choices is correct about the system?

1) The system is unstable for \(k>1\).
2) The system is unstable for \(k>0\).
3) The system's transient response is overdamped for \(k>0\).
4) The system's transient response can be overdamped, critically damped, or underdamped for \(k>0\).

Figure 5.1

-2 1 A = 1 -1 0 B = 1 0 1 0