The state-transition matrix of a closed-loop control system with a negative unity feedback is as follows:

Herein, \(k\) is the forward gain of the system. Determine the break-away/break-in point and the asymptotes intersection on the real axis.

1) \(\frac{-6+\sqrt{3}}{3},-6\)
2) \(\frac{-6+\sqrt{3}}{3},-2\)
3) \(\frac{-6-\sqrt{3}}{3},-2\)
4) \(\frac{-6-\sqrt{3}}{3},-6\)

[p(t)] = 2e2ee3e1-e-21 0 k(e-21e-31) e-2 -e-21 +e-31 0 e-31