If A and B are square matrices of order 2 such that (AB)= (BA), then which one of the following is correct?

NDA 2021 Mathematics question

If and are square matrices of order 2 such that , then which one of the following is correct?

Answer: (D)

For any two square matrices of the same order, and . Since multiplication of numbers is commutative, always

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Question ID VK-033505