JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002Let A=[22+p2+p+q46+2p8+3p+2q612+3p20+6p+3q]A = \begin{bmatrix} 2 & 2 + p & 2 + p + q \\ 4 & 6 + 2p & 8 + 3p + 2q \\ 6 & 12 + 3p & 20 + 6p + 3q \end{bmatrix}A=2462+p6+2p12+3p2+p+q8+3p+2q20+6p+3q. If det(adj(adj(3A)))=2m⋅3n\det(\text{adj}(\text{adj}(3A))) = 2^m \cdot 3^ndet(adj(adj(3A)))=2m⋅3n, m,n∈Nm, n \in \mathbb{N}m,n∈N, then m+nm + nm+n is equal to:AOption A. 22BOption B. 24COption C. 26DOption D. 20CheckSkip · show solution
