The Sizes of Two Matrices Are Given $2 \times 2$ ; B Is

Multiple Choice

The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product
can be calculated.
-A is $2 \times 2$ ; B is $2 \times 2$ .

A) $\mathrm { AB }$ is $2 \times 4$ ; BA is $2 \times 4$ .
B) $\mathrm { AB }$ is $2 \times 2$ ; $\mathrm { BA }$ is $2 \times 2$ .
C) $\mathrm { AB }$ is $1 \times 1$ ; $\mathrm { BA }$ is $1 \times 1$ .
D) $\mathrm { AB }$ is $4 \times 2$ ; BA is $4 \times 2$ .