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

MHT CET 2024 Mathematics question

If and , then is equal to

Answer: (B)

. Also . Comparing, the off-diagonal entries must be zero: , and the diagonal entries equal : . Substituting,

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Question ID VK-095521