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.
-(2 × 3)(3 × 2)
A)not defined
B)2 × 3
C)3 × 3
D)2 × 2

Question

Quizplus · Accepted Answer

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

Let (M × N) Denote a Matrix of Size M