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Matrices and Determinants question

2025 · 8 Apr · Shift 2 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2025 · 8 Apr · Shift 2 · Q38

Matrices and Determinants question

2025 · 8 Apr · Shift 2 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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(\text{adj}(\text{adj}(3A))) = 2^m \cdot 3^n

,

m, n \in \mathbb{N}

, then

m + n

is equal to

A
22
B
20
C
24
D
26

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