### Understanding Matrix Multiplication for Linear SystemsIn 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}

Given a system of equations. We have to write the given system of equations in a matrix…

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

### 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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