Are the products equal? Does AB = BA?

In general, matrix multiplication is not commutative, so reversing the order can change the product. For example, let A = [[1, 0], [0, 0]] and B = [[0, 1], [0, 0]]. Then AB = [[0, 1], [0, 0]], while BA = [[0, 0], [0, 0]]. Thus AB does not always equal BA, so the answer is No.

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