If \( A=\left(\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \...

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If \( A=\left(\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha\end{array}\right) \) and \( A^{-1}=A^{\prime} \), find value
\( \mathrm{P} \) of \( \alpha \).
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