Final answer:
Matrix multiplication is not commutative, meaning that the order in which matrices are multiplied matters.
Step-by-step explanation:
The question is asking whether the product of matrices A and B, AB, is equal to the product of matrices B and A, BA.
In general, for matrices A and B, AB and BA are not equal. Matrix multiplication is not commutative, meaning that the order in which matrices are multiplied matters. So, in most cases, the statement AB = BA is false.
However, there are specific cases where AB = BA. One example is when A and B are diagonal matrices, since diagonal matrices commute with each other.