JEE Main 2024 Mathematics question
If A is a square matrix of order 3 such that det(A) = 3 and det(adj(−4 adj(−3 adj(3 adj((2A)⁻¹))))) = 2ᵐ3ⁿ, then m + 2n is equal to:
Answer: (C)
Solution
For order 3, |adj M| = |M|² and |kM| = k³|M|. Starting from |(2A)⁻¹| = 1/24 and
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