JEE Main 2024 Mathematics question
Let A be a 3 × 3 matrix and det(A) = 2. If n = det(adj(adj(…(adj A)))) (adj taken 2024 times), then the remainder when n is divided by 9 is equal to .
Answer: 7
Solution
For a 3 × 3 matrix |adj M| = |M|², so after 2024 applications n = |A|^{} = . Modulo 9, 2
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