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If $A = \begin{bmatrix} 0 & \sin\alpha \ \sin\alpha & 0 \end{bmatrix}$ and $\det\left(A^2 - \dfrac{1}{2}I\right) = 0$, then a possible value of $\alpha$ is
(1) $\dfrac{\pi}{6}$
(2) $\dfrac{\pi}{2}$
(3) $\dfrac{\pi}{4}$
(4) $\dfrac{\pi}{3}$
BETA
