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Let $\theta = \dfrac{\pi}{5}$ and $A = \begin{bmatrix} \cos\theta & \sin\theta \ -\sin\theta & \cos\theta \end{bmatrix}$. If $B = A + A^4$, then $\det(B)$:
(1) is one
(2) lies in $(2, 3)$
(3) is zero
(4) lies in $(1, 2)$
BETA
