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MCQMediumJEE Main 2023 · 13 April, Shift 1Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

Let

B=[13α123αα4],α>2B=\begin{bmatrix} 1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4 \end{bmatrix},\qquad \alpha>2

be the adjoint of a matrix AA with ∣A∣=2|A|=2. Then

[α−2αα]B[α−2αα]\begin{bmatrix} \alpha & -2\alpha & \alpha \end{bmatrix} B \begin{bmatrix} \alpha \\ -2\alpha \\ \alpha \end{bmatrix}

is equal to:

  • A

    1616

  • B

    3232

  • C

    00

  • D

    −16-16

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