Perform the elementary row operation on the given matrix. -5R, +R,-R, [1 16 5 3] 7 18 5 12 9 13 Select one: 16 O a 7 18 0 -68-16 16 5 3 Ob. 7 18 6 28 14 16 16 Oc 2 3 -62 20 -7 5 12 9 13 1 16 Od. 7 18 -68 -16 16 38 55 175
Perform the elementary row operation on the given matrix. -5R, +R,-R, [1 16 5 3] 7 18 5 12 9 13 Select one: 16 O a 7 18 0 -68-16 16 5 3 Ob. 7 18 6 28 14 16 16 Oc 2 3 -62 20 -7 5 12 9 13 1 16 Od. 7 18 -68 -16 16 38 55 175
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.3: Matrix Approa To Solving Linear Systems
Problem 51PS
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![**Elementary Row Operation on Matrix**
Perform the elementary row operation on the given matrix.
**Operation:** \(-5R_1 + R_3 \rightarrow R_3\)
**Matrix:**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
5 & 12 & 9 & 13 \\
\end{bmatrix}
\]
**Options:**
- **a.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
0 & -68 & -16 & -2 \\
\end{bmatrix}
\]
- **b.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
6 & 28 & 14 & 16 \\
\end{bmatrix}
\]
- **c.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
2 & -62 & -20 & -7 \\
5 & 12 & 9 & 13 \\
\end{bmatrix}
\]
- **d.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
0 & -68 & -16 & 16 \\
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49b842bf-cc16-4136-849f-9476097c53d5%2Fe045a448-749c-4852-bd1a-203a6048ddc9%2Fl3kzing_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Elementary Row Operation on Matrix**
Perform the elementary row operation on the given matrix.
**Operation:** \(-5R_1 + R_3 \rightarrow R_3\)
**Matrix:**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
5 & 12 & 9 & 13 \\
\end{bmatrix}
\]
**Options:**
- **a.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
0 & -68 & -16 & -2 \\
\end{bmatrix}
\]
- **b.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
6 & 28 & 14 & 16 \\
\end{bmatrix}
\]
- **c.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
2 & -62 & -20 & -7 \\
5 & 12 & 9 & 13 \\
\end{bmatrix}
\]
- **d.**
\[
\begin{bmatrix}
1 & 16 & 5 & 3 \\
7 & 18 & 5 & 8 \\
0 & -68 & -16 & 16 \\
\end{bmatrix}
\]
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