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 $ 2 \times 2 $, and $ B $ is $ 2 \times 2 $.
A) $ 4 \times 2 ; 4 \times 2 $
B) $ 2 \times 2 ; 2 \times 2 $
C) $ 2 \times 4 ; 2 \times 4 $
D) $ 1 \times 1 ; 1 \times 1 $

Question

Quizplus · Accepted Answer

For matrix multiplication to be defined, the number of columns in the first matrix must equal the number of rows in the second matrix. Since both A and B are $2 \times 2$, the product AB and BA will also be $2 \times 2$.

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

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