If A = bmatrix 5a & -b 3 & 2 bmatrix and A adj A = AA^T, then 5a + b =

MHT CET 2025 Mathematics question

If and , then

Answer: (D)

with , so . Also . Equating entries: (from the (2,2) entry) and (off-diagonal), so

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Question ID VK-102710