Let A=\left[\begin{array}{ccc}2 & 2+p & 2+p+q \ 4 & 6+2 p & 8+3 p+2 q \ 6 & 12+3 p & 20+6 p+3 q]\end{array}. If {\det}({\adj}({\adj}(3 A)))=2^{m \cdot 3^n}, m, n \in \mathbb{N}, then m+n is equal to [8 Apr 2025 Shift 2]

JEE Main 8 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 5 of 75

Marks: +1, -0

Let A=[

].
If det(adj(adj(3A)))=2m⋅3n,m,n∈ℕ, then m+n is equal to

[8 Apr 2025 Shift 2]

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