The Sizes of Two Matrices a and B Are Given $A$

The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, whenever these products exist.
- $A$ is $3 \times 2$ , and B is $2 \times 3$ .

A) $2 \times 2 ; 3 \times 3$
B) $3 \times 3$ ; BA does not exist.
C) $\mathrm{AB}$ does not exist: $2 \times 2$
D) $3 \times 3 ; 2 \times 2$