Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Matrix Problem:**
Given matrices:
\[ A = \begin{bmatrix} -9 & -4 \\ 7 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 9 & -9 \\ -5 & -7 \end{bmatrix} \]
**Task:**
Find \(-4A - 3B\).
**Solution:**
The result of \(-4A - 3B\) will be in a matrix form:
\[ -4A - 3B = \begin{bmatrix} \square & \square \\ \square & \square \end{bmatrix} \]
**Explanation:**
- Calculate the scalar multiplication of matrix \(A\) by \(-4\).
- Calculate the scalar multiplication of matrix \(B\) by \(-3\).
- Subtract the resulting matrices to obtain \(-4A - 3B\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55f0052a-9d0d-41a8-9339-203ce40e3605%2F81c59f15-0027-4c44-bebc-bcb7b9ffe4d3%2F44y3dd9_processed.png&w=3840&q=75)
Transcribed Image Text:Here is the transcription of the image text suitable for an educational website:
---
**Matrix Problem:**
Given matrices:
\[ A = \begin{bmatrix} -9 & -4 \\ 7 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 9 & -9 \\ -5 & -7 \end{bmatrix} \]
**Task:**
Find \(-4A - 3B\).
**Solution:**
The result of \(-4A - 3B\) will be in a matrix form:
\[ -4A - 3B = \begin{bmatrix} \square & \square \\ \square & \square \end{bmatrix} \]
**Explanation:**
- Calculate the scalar multiplication of matrix \(A\) by \(-4\).
- Calculate the scalar multiplication of matrix \(B\) by \(-3\).
- Subtract the resulting matrices to obtain \(-4A - 3B\).
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