← Let A = Find -4A -4A=0 77 -41
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Matrix Scalar Multiplication Example**
**Given:**
Let \( A = \begin{bmatrix} 7 & 7 \\ -4 & 1 \end{bmatrix} \).
**Task:**
Find \(-4A\).
**Solution Steps:**
To find \(-4A\), multiply every element of matrix \( A \) by \(-4\).
**Calculation:**
1. Multiply the first row:
- \(-4 \times 7 = -28\)
- \(-4 \times 7 = -28\)
2. Multiply the second row:
- \(-4 \times -4 = 16\)
- \(-4 \times 1 = -4\)
**Result:**
\[
-4A = \begin{bmatrix} -28 & -28 \\ 16 & -4 \end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F917d2425-81cd-4e01-b117-3301ec41a936%2F82b65eff-39d1-48f7-951d-8e6f595d93cf%2Fu3ohn6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Matrix Scalar Multiplication Example**
**Given:**
Let \( A = \begin{bmatrix} 7 & 7 \\ -4 & 1 \end{bmatrix} \).
**Task:**
Find \(-4A\).
**Solution Steps:**
To find \(-4A\), multiply every element of matrix \( A \) by \(-4\).
**Calculation:**
1. Multiply the first row:
- \(-4 \times 7 = -28\)
- \(-4 \times 7 = -28\)
2. Multiply the second row:
- \(-4 \times -4 = 16\)
- \(-4 \times 1 = -4\)
**Result:**
\[
-4A = \begin{bmatrix} -28 & -28 \\ 16 & -4 \end{bmatrix}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
