Chapter 4: Q5. (page 171)

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

Expert verified

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.

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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

Step by step solution

Step 1- Determine the inner dimensions of both the matrices

– Determine whether the product is defined or not

Step 3- Write the dimensions that defines the product

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Determine whether each matrix product is defined. If so, state the dimensions of the product.X2×3⋅Y2×3

Short Answer

Step by step solution

Step 1- Determine the inner dimensions of both the matrices

– Determine whether the product is defined or not

Step 3- Write the dimensions that defines the product

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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