If \( A(\alpha, \beta)=\left[\begin{array}{ccc}\cos \alpha & \sin \alpha & 0 \\ -\sin \alpha & \...

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If \( A(\alpha, \beta)=\left[\begin{array}{ccc}\cos \alpha & \sin \alpha & 0 \\ -\sin \alpha & \cos \alpha & 0 \\ 0 & 0 & e^{\beta}\end{array}\right] \), then \( A(\alpha, \beta)^{-1} \) is equal to
(A) \( A(-\alpha,-\beta) \)
(B) \( A(\alpha,-\beta) \)
(C) \( A(-\alpha, \beta) \)
(D) \( A(\alpha, \beta) \)
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