Chapter 4: Q45. (page 173)

If C is a $5 \times 1$ matrix and D is a $3 \times 5$ matrix, what are the dimensions of DC?
A. $5 \times 5$
B. $3 \times 1$
C. $1 \times 3$
D. DC is not defined

Short Answer

Expert verified

The required option is C.

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 5 and 5.

– 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 product is defined the dimensions that defines matrix is $3 \times 1$ .

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If C is a $5 \times 1$ matrix and D is a $3 \times 5$ matrix, what are the dimensions of DC?
A. $5 \times 5$
B. $3 \times 1$
C. $1 \times 3$
D. DC is not defined

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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If C is a 5×1matrix and D is a3×5 matrix, what are the dimensions of DC?A.5×5B.3×1C.1×3D. DC is not defined

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

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Calculus

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

If C is a $5 \times 1$ matrix and D is a $3 \times 5$ matrix, what are the dimensions of DC?
A. $5 \times 5$
B. $3 \times 1$
C. $1 \times 3$
D. DC is not defined