JEE Main 20249 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let AAA be a non-singular matrix of order 3. If det(3adj(2adj((detA)A)))=3−13⋅2−10\operatorname{det}(3 \operatorname{adj}(2 \operatorname{adj}((\operatorname{det} A) A)))=3^{-13} \cdot 2^{-10}det(3adj(2adj((detA)A)))=3−13⋅2−10 and det(3adj(2A))=2m⋅3n\operatorname{det}(3\operatorname{adj}(2 \mathrm{A}))=2^{\mathrm{m}} \cdot 3^{\mathrm{n}}det(3adj(2A))=2m⋅3n, then ∣3 m+2n∣|3 \mathrm{~m}+2 \mathrm{n}|∣3 m+2n∣ is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
