What is the size of the product matrix when a 2 × 3 matrix is multiplied by a 3 × 2 matrix?

Question

A. 2 × 2

B. 2 × 3

C. 3 × 2

D. 3 × 3

Answer 1

The product of an m x p matrix with a p x n matrix is an m x n matrix. Therefore, the product of a 2x3 matrix with a 3x2 matrix (in that order) is a 2x2 matrix. However, if the order of multiplication is the 3x2 matrix with a 2x3 matrix, then the product is a 3x3 matrix. From the wording of the question, I am not clear in what order you want to multiply the matrices. As you know, matrix multiplication is not commutative.

Answer 2

2 x3 by 3x2 just look at the inside two numbers. It will be a 3x3