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Matrices and Determinants question

2023 · 8 Apr · Shift 1 · Q24
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  5. /2023 · 8 Apr · Shift 1 · Q24

Matrices and Determinants question

2023 · 8 Apr · Shift 1 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[21012−10−12]A=\left[\begin{array}{ccc}2 & 1 & 0 \\ 1 & 2 & -1 \\ 0 & -1 & 2\end{array}\right]A=​210​12−1​0−12​​. If ∣adj⁡(adj⁡(adj⁡2A))∣=(16)n|\operatorname{adj}(\operatorname{adj}(\operatorname{adj} 2 A))|=(16)^{n}∣adj(adj(adj2A))∣=(16)n, then nnn is equal to :
  1. A
    9
  2. B
    8
  3. C
    10
  4. D
    12
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