Let (m × n) denote a matrix of size m × n. Find the size of the following product, or state that the product is not defined.
-(3 × 2)(2 × 3)
A)not defined
B)3 × 3
C)2 × 2
D)2 × 3

Question

Quizplus · Accepted Answer

The product of a (3 × 2) matrix and a (2 × 3) matrix is defined and results in a (3 × 3) matrix. Matrix multiplication is possible when the number of columns in the first matrix equals the number of rows in the second matrix, which is the case here.

Let (M × N) Denote a Matrix of Size M