Chapter 4: Q35. (page 200)

For Exercises 34-38, use the figure below.
35. Use matrix multiplication to find BA if $B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$

Short Answer

Expert verified

The value ofBA is: $BA = [\begin{matrix} 0 & 8 & 4 & - 4 \\ 0 & 8 & 12 & 4 \end{matrix}]$

Step by step solution

- Observe the given figure.

The given figure is:

- Description of step.

It is being given that $B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$

The vertex matrixA is given by: $A = [\begin{matrix} 0 & 4 & 2 & - 2 \\ 0 & 4 & 6 & 2 \end{matrix}]$

Therefore, the value of BA is given by: $\begin{matrix} B A = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}] \cdot [\begin{matrix} 0 & 4 & 2 & - 2 \\ 0 & 4 & 6 & 2 \end{matrix}] \\ = [\begin{matrix} 0 + 0 & 8 + 0 & 4 + 0 & - 4 + 0 \\ 0 + 0 & 0 + 8 & 0 + 12 & 0 + 4 \end{matrix}] \\ = [\begin{matrix} 0 & 8 & 4 & - 4 \\ 0 & 8 & 12 & 4 \end{matrix}] \end{matrix}$

- Write the value of BA.

The value of BA is: $B A = [\begin{matrix} 0 & 8 & 4 & - 4 \\ 0 & 8 & 12 & 4 \end{matrix}]$

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.

For Exercises 34-38, use the figure below.
35. Use matrix multiplication to find BA if $B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$

Short Answer

Step by step solution

- Observe the given figure.

- Description of step.

- Write the value of BA.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

For Exercises 34-38, use the figure below.35. Use matrix multiplication to find BA ifB=[2002]

Short Answer

Step by step solution

­- Observe the given figure.

­- Description of step.

­- Write the value of BA.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

For Exercises 34-38, use the figure below.
35. Use matrix multiplication to find BA if $B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$

- Observe the given figure.

- Description of step.

- Write the value of BA.