NVAMediumJEE Main 2026 · 23 January, Shift 1Properties of Determinants

Mathematics Question from JEE Main 2026 · 23 January, Shift 1

Let A=6|A| = 6, where AA is a 3×33 \times 3 matrix. If adj(3adj(A2adj(2A)))=2m3n\left|\operatorname{adj}\left(3\operatorname{adj}\left(A^2 \cdot \operatorname{adj}(2A)\right)\right)\right| = 2^{m} \cdot 3^{n}, then m+nm + n is equal to :

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