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Let $A = \begin{bmatrix} \cos\alpha & -\sin\alpha \ \sin\alpha & \cos\alpha \end{bmatrix}$, $(\alpha \in \mathbb{R})$ such that $A^{32} = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix}$.
Then a value of $\alpha$ is:
(1) $\dfrac{\pi}{32}$
(2) $0$
(3) $\dfrac{\pi}{64}$
(4) $\dfrac{\pi}{16}$
BETA
