Let A = 2 2 + p 2 + p + q 4 6 + 2p 8 + 3p + 2q 6 12 + 3p 20 + 6p… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 8 April, Shift 2Inverse & Adjoint of a Matrix

Let $A = \begin{bmatrix} 2 & 2 + p & 2 + p + q\\ 4 & 6 + 2p & 8 + 3p + 2q\\ 6 & 12 + 3p & 20 + 6p + 3q \end{bmatrix}$ If $\det(\operatorname{adj}(\operatorname{adj}(3A))) = 2^m \cdot 3^n, \; m, n \in \mathbb{N},$ then $m + n$ is equal to:

A
$22$
B
$26$
C
$20$
D
$24$

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