Chapter 4.3, Problem 46HP

To determine

To find: The dimensions of matrix $\text{B}$ .

Answer to Problem 46HP

The dimensions of matrix $\text{B}$ is $6\times 8$ .

Explanation of Solution

Given:

The dimensions of $\text{AB}$ is $5\times 8$

The dimension of $\text{A}$ is $5\times 6$

Calculation:

The product of the matrix is possible only when the inner dimensions of the matrices are same.

So, the inner dimension of the matrix is $6$ .

Thus, the dimensions of matrix $\text{B}$ is $6\times 8$ .