Chapter 4.5, Problem 68STP

To determine

To find: Whether the each matrix product is defined or not, determine the dimensions of the product if it is defined.

Answer to Problem 68STP

The product of the matrix is defined and the dimension of the product is $4\times 6$ .

Explanation of Solution

Given:

The given matrix is $A_{4\times 2}\cdot B_{2\times 6}$ .

Calculation:

Consider the given matrix is .

  $A_{4\times 2}\cdot B_{2\times 6}$

The inner dimensions of the matrix is $2$ .

The inner dimensions are equal so the product is defined and the dimensions of the product is,

  $4\times 6$