2x + 3y-72-13 3x+ 11y- 17z 0 -4x- 8y +92=-3 Vhich of the following matrix multiplication equations represents the system of lincar equations above 3. 3 11 -1 -4 -8 -3 3 13 3 11 -8 -7 -17 -7 13 3 11 -17 = Ty -4 -8 -3 3 -4 13 3 11 -8 -7 -17 %3D 9. -3
2x + 3y-72-13 3x+ 11y- 17z 0 -4x- 8y +92=-3 Vhich of the following matrix multiplication equations represents the system of lincar equations above 3. 3 11 -1 -4 -8 -3 3 13 3 11 -8 -7 -17 -7 13 3 11 -17 = Ty -4 -8 -3 3 -4 13 3 11 -8 -7 -17 %3D 9. -3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Understanding Matrix Multiplication for Linear Systems
In this exercise, we are tasked with identifying which matrix multiplication equation best represents the given system of linear equations. The system of equations is represented as follows:
\[
\begin{cases}
2x + 3y - 7z = 13 \\
3x + 11y - 17z = 0 \\
-4x - 8y + 9z = -3 \\
\end{cases}
\]
**Question:**
Which of the following matrix multiplication equations represents the system of linear equations above?
**Possible Answers:**
1. **Option A:**
\[
\begin{pmatrix}
2 & 3 & -7 \\
3 & 11 & -17 \\
-4 & -8 & 9
\end{pmatrix}
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
=
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
\]
2. **Option B:**
\[
\begin{pmatrix}
2 & 3 & -4 \\
3 & 11 & -8 \\
-7 & -17 & 9
\end{pmatrix}
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
=
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
\]
3. **Option C:**
\[
\begin{pmatrix}
2 & 3 & -7 \\
3 & 11 & -17 \\
-4 & -8 & 9
\end{pmatrix}
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
=
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
\]
4. **Option D:**
\[
\begin{pmatrix}
2 & 3 & -4 \\
3 & 11 & -8 \\
-7 & -17 & 9
\end{pmatrix}
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
=
\begin{pmatrix}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9597aabe-047a-417f-a2e0-78440e121371%2Ff1679328-c0f0-4c48-8fd2-ca1e82ace117%2Fmp9m82l_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Matrix Multiplication for Linear Systems
In this exercise, we are tasked with identifying which matrix multiplication equation best represents the given system of linear equations. The system of equations is represented as follows:
\[
\begin{cases}
2x + 3y - 7z = 13 \\
3x + 11y - 17z = 0 \\
-4x - 8y + 9z = -3 \\
\end{cases}
\]
**Question:**
Which of the following matrix multiplication equations represents the system of linear equations above?
**Possible Answers:**
1. **Option A:**
\[
\begin{pmatrix}
2 & 3 & -7 \\
3 & 11 & -17 \\
-4 & -8 & 9
\end{pmatrix}
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
=
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
\]
2. **Option B:**
\[
\begin{pmatrix}
2 & 3 & -4 \\
3 & 11 & -8 \\
-7 & -17 & 9
\end{pmatrix}
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
=
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
\]
3. **Option C:**
\[
\begin{pmatrix}
2 & 3 & -7 \\
3 & 11 & -17 \\
-4 & -8 & 9
\end{pmatrix}
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
=
\begin{pmatrix}
x \\
y \\
z
\end{pmatrix}
\]
4. **Option D:**
\[
\begin{pmatrix}
2 & 3 & -4 \\
3 & 11 & -8 \\
-7 & -17 & 9
\end{pmatrix}
\begin{pmatrix}
13 \\
0 \\
-3
\end{pmatrix}
=
\begin{pmatrix}
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