JEE Main 2022 Mathematics question
Consider a matrix A = , where , , are three distinct natural numbers. If det(adj(adj(adj(adj , then the number of such 3-tuples (, , ) is .
Answer: 42
Solution
Adding the first row to the third makes the third row (, 1, 1), so det . For a matrix det(adj M) = (det , so det(adj(adj(adj(adj A)))) = (det
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