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Chapter 4: Q14. (page 172)

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

X2×2⋅Y2×2

Short Answer

Expert verified

The required answer is that product is defined with dimensions 2×2

Step by step solution

01

Step 1- Determine the inner dimensions of both the matrices

The inner dimensions for both the provided matrices are represented by the number 2.

02

– 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.

03

Step 3- Write the dimensions that defines the product

As the number 2 represents the dimension that is outer so the multiplication of number 2 by itself represents the dimension related to product that is 2×2

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