Let for A = 1 2 3 α 3 1 1 1 2, |A| = 2. If |2 adj(2 adj(2A))| = 3… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 13 April, Shift 2Inverse & Adjoint of a Matrix

Let for $A = \begin{pmatrix} 1 & 2 & 3 \\ \alpha & 3 & 1 \\ 1 & 1 & 2 \end{pmatrix}$ , $|A| = 2$ . If $\left|2\,\mathrm{adj}\left(2\,\mathrm{adj}(2A)\right)\right| = 32^n$ , then $3n + \alpha$ is equal to:

A
$10$
B
$9$
C
$12$
D
$11$

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