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MCQMediumJEE Main 2023 · 8 April, Shift 1Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2023 · 8 April, Shift 1

Let A=[21012−10−12].A = \begin{bmatrix} 2 & 1 & 0 \\ 1 & 2 & -1 \\ 0 & -1 & 2 \end{bmatrix}. If ∣adj⁡(adj⁡(adj⁡(2A)))∣=(16)n\left| \operatorname{adj}(\operatorname{adj}(\operatorname{adj}(2A))) \right| = (16)^n, then nn is equal to:

  • A

    88

  • B

    99

  • C

    1212

  • D

    1010

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