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Matrices and Determinants question

2024 · 4 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Matrices and Determinants
2024 · 4 Apr · Shift 1 · Q33

Matrices and Determinants question

2024 · 4 Apr · Shift 1 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\alpha \in(0, \infty)

and

A=\left[\begin{array}{lll}1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2\end{array}\right]

. If

\operatorname{det}\left(\operatorname{adj}\left(2 A-A^T\right) \cdot \operatorname{adj}\left(A-2 A^T\right)\right)=2^8

, then

(\operatorname{det}(A))^2

is equal to:

A
16
B
36
C
49
D
1

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