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Matrices And Determinants

AP EAPCET 2022 - 4th July Morning Shift

MCQ+1 / -02022

Let $$A=\left[\begin{array}{ccc}5 & \sin ^2 \theta & \cos ^2 \theta \\ -\sin ^2 \theta & -5 & 1 \\ \cos ^2 \theta & 1 & 5\end{array}\right]$$. Then, maximum value of \(\operatorname{det}(A)\) is

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