Question

Determine whether each matrix product is defined. If so, state the dimensions of the product.$A_{4\times 3}\cdot B_{3\times 2}$

Short answer

The required answer is that product is defined with dimensions .$4\times 2$

Step-by-step solution

Step 1- Determine the inner dimensions of both the matrices

The inner dimensions for both the provided matrices are represented by the number 3

– Determine whether the product is defined or not

As the inner dimensions of provided matrices are the same which means that the product for the provided matrices is defined.

Step 3- Write the dimensions that defines the product

As the numbers 4 and 2 represents the dimension that is outer so the multiplication between them represents the dimension related to product that is .$4\times 2$