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 $ 4 \times 2 $, and B is $ 4 \times 2 $.
A) $ 2 \times 4 ; 4 \times 2 $
B) $ \mathrm{AB} $ does not exist; $ \mathrm{BA} $ does not exist.
C) $ 4 \times 4 ; 2 \times 2 $
D) $ 4 \times 2 ; 2 \times 4 $

Question

Quizplus · Accepted Answer

For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix. Since both A and B are $4 \times 2$, neither AB nor BA can be formed because the number of columns in A does not match the number of rows in B, and vice versa.

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

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