Let A be a square matrix of order 3 such that det (A) = -2 and det (3 adj(-6 adj(3 A))) = 2^(m+n) · 3^(mn), m > n. Then 4m + 2n is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q221

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

A

be a square matrix of order 3 such that

\det(A) = -2

and

\det(3 \operatorname{adj}(-6 \operatorname{adj}(3 A))) = 2^{m+n} \cdot 3^{mn}

m > n

. Then

4m + 2n

is equal to:

Your answerInteger or decimal