Perform the indicated row operations on the following matrix. -5 4 2 25 Scr 21-0 5) –3R1 - R1 1 -5| 4 A) B) 15|-12] -3 -5 D) -6 -6-15 2 -6 25 inko Page 1
Perform the indicated row operations on the following matrix. -5 4 2 25 Scr 21-0 5) –3R1 - R1 1 -5| 4 A) B) 15|-12] -3 -5 D) -6 -6-15 2 -6 25 inko Page 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![### Matrix Row Operations
Perform the indicated row operations on the following matrix:
\[
\begin{bmatrix}
1 & -5 & 4 \\
2 & 2 & 5
\end{bmatrix}
\]
**Operation**: \( -3R_1 \rightarrow R_1 \)
Choose the correct resultant matrix from options A, B, C, or D.
#### Options:
- **A**
\[
\begin{bmatrix}
1 & -5 & 4 \\
-6 & -6 & -15
\end{bmatrix}
\]
- **B**
\[
\begin{bmatrix}
1 & -5 & 4 \\
-1 & 17 & 7
\end{bmatrix}
\]
- **C**
\[
\begin{bmatrix}
-3 & 15 & -12 \\
2 & 2 & 5
\end{bmatrix}
\]
- **D**
\[
\begin{bmatrix}
-3 & -5 & 4 \\
-6 & 2 & 5
\end{bmatrix}
\]
---
**Explanation of Operation**:
The operation \( -3R_1 \rightarrow R_1 \) means that the first row of the matrix is multiplied by \(-3\). Apply this to the first row \([1, -5, 4]\) to find the new first row of the matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc702ff9-d3e6-4e4b-abbc-7bc2699ae04d%2Fe559723a-b82e-4f51-b638-1e3db9634186%2Flrjgvpj_processed.png&w=3840&q=75)
Transcribed Image Text:### Matrix Row Operations
Perform the indicated row operations on the following matrix:
\[
\begin{bmatrix}
1 & -5 & 4 \\
2 & 2 & 5
\end{bmatrix}
\]
**Operation**: \( -3R_1 \rightarrow R_1 \)
Choose the correct resultant matrix from options A, B, C, or D.
#### Options:
- **A**
\[
\begin{bmatrix}
1 & -5 & 4 \\
-6 & -6 & -15
\end{bmatrix}
\]
- **B**
\[
\begin{bmatrix}
1 & -5 & 4 \\
-1 & 17 & 7
\end{bmatrix}
\]
- **C**
\[
\begin{bmatrix}
-3 & 15 & -12 \\
2 & 2 & 5
\end{bmatrix}
\]
- **D**
\[
\begin{bmatrix}
-3 & -5 & 4 \\
-6 & 2 & 5
\end{bmatrix}
\]
---
**Explanation of Operation**:
The operation \( -3R_1 \rightarrow R_1 \) means that the first row of the matrix is multiplied by \(-3\). Apply this to the first row \([1, -5, 4]\) to find the new first row of the matrix.
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