Chapter 4: Q16. (page 164)

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}]$

Short Answer

Expert verified

The final matrix after performing the indicated matrix operation is

$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}] = [\begin{matrix} 15 & 0 & 4 \\ 0 & 13 & - 5 \end{matrix}] .$

Step by step solution

- Define concept of matrix subtraction

If A and B are two matrices of order $m \times n$ , then the subtraction of the two matrices will also yield a matrix of order $m \times n$ wherein each element is the difference of the corresponding elements.

- Subtract corresponding elements

In order to find $[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}]$ , subtract corresponding elements of both the matrices.

$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}] = [\begin{matrix} 12 - (- 3) & 0 - 0 & 8 - 4 \\ 9 - 9 & 15 - 2 & - 11 - (- 6) \end{matrix}]$

- Simplify the matrix

Further simplify the matrix by subtracting the elements.

$\begin{matrix} [\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}] = [\begin{matrix} 12 - (- 3) & 0 - 0 & 8 - 4 \\ 9 - 9 & 15 - 2 & - 11 - (- 6) \end{matrix}] \\ = [\begin{matrix} 15 & 0 & 4 \\ 0 & 13 & - 5 \end{matrix}] \end{matrix}$

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.

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}]$

Short Answer

Step by step solution

- Define concept of matrix subtraction

- Subtract corresponding elements

- Simplify the matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Pure Maths

Decision Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.1208915−11−−30492−6

Short Answer

Step by step solution

- Define concept of matrix subtraction

- Subtract corresponding elements

- Simplify the matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Pure Maths

Decision Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & - 11 \end{matrix}] - [\begin{matrix} - 3 & 0 & 4 \\ 9 & 2 & - 6 \end{matrix}]$