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Matrices and Determinants question

2025 · 22 Jan · Shift 1 · Q49

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JEE Main
Mathematics
Matrices and Determinants
2025 · 22 Jan · Shift 1 · Q49

Matrices and Determinants question

2025 · 22 Jan · Shift 1 · Q49

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

A

be a square matrix of order 3 such that

\operatorname{det}(A)=-2

and

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

. Then

4 m+2 n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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