If \( A_{\alpha}=\left[\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha\...
If \( A_{\alpha}=\left[\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha\end{array}\right] \), then \( A_{\alpha} A_{\beta} \) is equal to
(A) \( A_{\alpha \beta} \)
(B) \( A_{\alpha+\beta} \)
(C) \( A_{\alpha-\beta} \)
(D) None of these
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