JEE Main 2024 Mathematics question
Let αβ ≠ 0 and . If is the matrix of co-factors of the elements of A, then det(AB) is equal to:
Answer: (D)
Solution
Equating cofactors gives α = 2, β = 1. Then det A = 6 and, for the 3 × 3 cofactor matrix, det B = (det A)², so det(AB) =
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