Let A and B be two square matrices of same order. If AB is a null matrix, then which one of the following is correct?

NDA 2024 Mathematics question

Let and be two square matrices of same order. If is a null matrix, then which one of the following is correct?

Answer: (C)

If is non-singular, exists; pre-multiplying by gives , so (c) is correct. The others fail: , $B =

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Question ID VK-029896