Chapter 4: Q47. (page 181)

Determine whether each matrix product is defined. If so, state the dimensions of the product.
47. $A_{4 \times 1} \cdot B_{2 \times 1}$

Short Answer

Expert verified

Matrix product of given matrices is not defined.

Step by step solution

- Write condition for matrix product to be defined.

For two matrices $A$ and $B$ , the product $A \cdot B$ is defined when number of columns of matrix $A$ is equal to the number of rows of matrix $B$ .

- Write dimensions of given matrices

Matrix $A$ has 4 rows and 1 column and matrix $B$ has 2 rows and 1 column.

- Check multiplication is defined or not

As, number of columns of matrix $A$ is not equal to the number of rows of matrix $B$ .

So multiplication is not defined.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Determine whether each matrix product is defined. If so, state the dimensions of the product.
47. $A_{4 \times 1} \cdot B_{2 \times 1}$

Short Answer

Step by step solution

- Write condition for matrix product to be defined.

- Write dimensions of given matrices

- Check multiplication is defined or not

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Pure Maths

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Determine whether each matrix product is defined. If so, state the dimensions of the product.47. A4×1·B2×1

Short Answer

Step by step solution

- Write condition for matrix product to be defined.

- Write dimensions of given matrices

- Check multiplication is defined or not

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Pure Maths

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Determine whether each matrix product is defined. If so, state the dimensions of the product.
47. $A_{4 \times 1} \cdot B_{2 \times 1}$