Let A be a non-singular matrix of order 3 . If {\det}(3 {\adj}(2 {\adj}(({\det} A) A)))=3^{-13} \cdot 2^{-10} and det (3 {\adj}(2 {\A}))=2^{ {\m}} \cdot 3^{ {\n}}, then |3 {\m}+2 {\n}| is equal to ______. [9 Apr 2024 Shift 1]

JEE Main 9 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

Let A be a non-singular matrix of order 3 . If det(3‌adj(2‌adj((det‌A)A)))=3−13⋅2−10 and det (3‌adj(2A))=2m⋅3n, then |3m+2n| is equal to ______.

[9 Apr 2024 Shift 1]

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