Let \( A=\left(\begin{array}{ccc}0 & \sin \alpha & \sin \alpha \sin \beta \\ -\sin \alpha & 0 & ...
Let \( A=\left(\begin{array}{ccc}0 & \sin \alpha & \sin \alpha \sin \beta \\ -\sin \alpha & 0 & \cos \alpha \cos \beta \\ -\sin \alpha \sin \beta & -\cos \alpha \cos \beta & 0\end{array}\right) \), then -
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(A) IA| is independent of \( \alpha \) and \( \beta \)
(B) \( \mathrm{A}^{-1} \) depends only on \( \alpha \)
(C) \( \mathrm{A}^{-1} \) depends only on \( \beta \)
(D) none of these
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