Let's begin by identifying key information given to us:
A is a 3 x 2 matrix
B is a 2 x 3 matrix
AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix
Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist