\( \mathrm{P} \) Let \( F(\alpha)=\left[\begin{array}{ccc}\cos \alp...

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\( \mathrm{P} \)
Let \( F(\alpha)=\left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right] \) where \( \alpha \in R \).
W
Then \( [F(\alpha)]^{-1} \) is equal to
(A) \( F(-\alpha) \)
(B) \( F\left(\alpha^{-1}\right) \)
(C) \( F(2 \alpha) \)
(D) None of these
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