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Matrices and Determinants question

2023 · 13 Apr · Shift 1 · Q32

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JEE Main
Mathematics
Matrices and Determinants
2023 · 13 Apr · Shift 1 · Q32

Matrices and Determinants question

2023 · 13 Apr · Shift 1 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha \gt 2

be the adjoint of a matrix

A

and

|A|=2

. Then

\left[\begin{array}{ccc}\alpha & -2 \alpha & \alpha\end{array}\right] B\left[\begin{array}{c}\alpha \\ -2 \alpha \\ \alpha\end{array}\right]

is equal to :

A
32
B
$-$ 16
C
0
D
16

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