For the following system represented in state space, find out how many poles are in the left half-plane, in the right half-plane, and on the jw axis.
a) 2 in LHP, 1 in RHP, 0 on jw axis
b) 1 in LHP, 2 in RHP, 0 on jw axis
c) 0 in LHP, 3 in RHP, 0 on jw axis
d) 3 in LHP, 0 in RHP, 0 on jw axis