The size of two matrices is given. Find the size of the product AB and the product BA, if the products exist.
-A is 3 × 4, B is 4 × 3.
A) AB is 3 × 3, BA is 4 × 4.
B) AB is 3 × 3, BA is undefined.
C) AB is 4 × 4, BA is 3 × 3.
D) AB is undefined, BA is 4 × 4.

Question

Quizplus · Accepted Answer

The product AB is defined when the number of columns in A matches the number of rows in B, resulting in a matrix of size 3 × 3. Similarly, the product BA is defined when the number of columns in B matches the number of rows in A, resulting in a matrix of size 4 × 4.

The Size of Two Matrices Is Given