If A is a k × m matrix and B is an m × n matrix, then BA is the transpose of AB.

Question

Quizplus · Accepted Answer

The product BA is not defined in this case because the number of columns in B does not match the number of rows in A. For matrix multiplication, the inner dimensions must match, so AB can be computed (since A has m columns and B has m rows), but BA cannot. Even if BA were defined under different circumstances, it would not necessarily be the transpose of AB.

If a Is a K × M Matrix and B