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let \( A=\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right] \)
where \( 0 \leq \theta \leq 2 \pi \) then
a) \( \operatorname{det}(\mathrm{A})=0 \)
b) \( \operatorname{det}(\mathrm{A}) \in(2, \infty) \)
c) \( \operatorname{det}(\mathrm{A}) \in(2,4) \)
d) \( \operatorname{det}(\mathrm{A}) \in[2,4] \)
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