Question

True or False: Matrix multiplication is commutative.

Answer 1

The product BA is defined (that is, we can do the multiplication), but the product, when the matrices are multiplied in this order, will be 3×3, not 2×2. In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.
Hence the question is false.......

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