Let $ \theta=\frac{\pi}{5} $ and $ A=\left[\begin{array}{cc}\cos \theta & \sin \theta \ -\sin \theta & \cos \theta\end{array}\right] $. If $ \mathrm{B}=\mathrm{A}+\mathrm{A}^{4} $, then $ \operatorname{det}(B) $ : [JEE Main 2020, 6 Sep (Shift 2)]

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Let \( \theta=\frac{\pi}{5} \) and \( A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos …

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Let \( \theta=\frac{\pi}{5} \) and \( A=\left[\begin{array}{cc}\cos \theta &amp; \sin \theta \\ -\sin \theta &amp; \cos …

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Let \( \theta=\frac{\pi}{5} \) and \( A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos …