Control Systems State Space Analysis Controllability

If Qc = controllability matrix and Q0 = observability matrix, then the system is controllable and observable at

1
|Qc| = 0 and |Q0| = 0
2
|Qc|≠ 0 and |Q0| = 0
3
|Qc| = 0 and |Q0| ≠ 0
4
|Qc|≠ 0 and |Q0| ≠ 0
5
|Qc| = 1 and |Q0| = 1

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