Question

Determine whether each matrix product is defined. If so, state the dimensions of the product.

$X_{2\times 3}\cdot Y_{2\times 3}$

Short answer

The required answer is that the product related to the matrix is not defined.

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 numbers 3 and 2.

– Determine whether the product is defined or not

As the inner dimensions of provided matrices are not the same which means that the product for the provided matrices is not defined.

Step 3- Write the dimensions that defines the product

As the product is not defined then the dimensions that defines the product does not exist.