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} \cdot 3^{m n}, m>n. Then 4 m+2 n is equal to \_\_\_\_ [22 Jan 2025 Shift 1]

Matrices and Determinants Part 4

Section: Mathematics

Question : 32 of 58

Marks: +1, -0

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

[22 Jan 2025 Shift 1]

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