Write the system of linear equations as a matrix equation, AX = B. $$\left\{ \begin{array} { r }
- x _ { 1 } + x _ { 2 } = 8 \
- 4 x _ { 1 } + x _ { 2 } = 0
\end{array} \right.$$
A) $\left[ \begin{array} { l l }
- 1 & 1 \
- 4 & 1
\end{array} \right] \left[ \begin{array} { l }
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l }
8 \
0
\end{array} \right]$
B) $\left[ \begin{array} { c c }
1 & 1 \
- 4 & - 1
\end{array} \right] \left[ \begin{array} { l }
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l }
8 \
0
\end{array} \right]$
C) $\left[ \begin{array} { l l }
- 1 & 1 \
- 4 & 1
\end{array} \right] \left[ \begin{array} { c }
- x _ { 1 } \
- x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l }
8 \
0
\end{array} \right]$
D) $\left[ \begin{array} { l l }
- 1 & - 1 \
- 4 & - 1
\end{array} \right] \left[ \begin{array} { l }
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l }
8 \
0
\end{array} \right]$
E) $\left[ \begin{array} { l l }
1 & 1 \
4 & 1
\end{array} \right] \left[ \begin{array} { l }
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l }
8 \
0
\end{array} \right]$

Question

Write the system of linear equations as a matrix equation, AX = B.   $$\left\{ \begin{array} { r } 
- x _ { 1 } + x _ { 2 } = 8 \
- 4 x _ { 1 } + x _ { 2 } = 0
\end{array} \right.$$  
A) $\left[ \begin{array} { l l } 
- 1 & 1 \
- 4 & 1
\end{array} \right] \left[ \begin{array} { l } 
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l } 
8 \
0
\end{array} \right]$
B) $\left[ \begin{array} { c c } 
1 & 1 \
- 4 & - 1
\end{array} \right] \left[ \begin{array} { l } 
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l } 
8 \
0
\end{array} \right]$
C) $\left[ \begin{array} { l l } 
- 1 & 1 \
- 4 & 1
\end{array} \right] \left[ \begin{array} { c } 
- x _ { 1 } \
- x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l } 
8 \
0
\end{array} \right]$
D) $\left[ \begin{array} { l l } 
- 1 & - 1 \
- 4 & - 1
\end{array} \right] \left[ \begin{array} { l } 
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l } 
8 \
0
\end{array} \right]$
E) $\left[ \begin{array} { l l } 
1 & 1 \
4 & 1
\end{array} \right] \left[ \begin{array} { l } 
x _ { 1 } \
x _ { 2 }
\end{array} \right] = \left[ \begin{array} { l } 
8 \
0
\end{array} \right]$

Quizplus · Accepted Answer

The coefficients of $x_1$ and $x_2$ in the system of equations directly form the matrix $\left[ \begin{array} { l l } -1 & 1 \ -4 & 1 \end{array} \right]$, and the constants on the right side of the equations form the matrix $\left[ \begin{array} { l } 8 \ 0 \end{array} \right]$, making option A the correct representation of the system as a matrix equation.

Write the System of Linear Equations as a Matrix Equation {−x1+x2=8−4x1+x2=0\left\{ \begin{array} { r } - x _ { 1 } + x _ { 2 } = 8 \\- 4 x _ { 1 } + x _ { 2 } = 0\end{array} \right.{−x1​+x2​=8−4x1​+x2​=0​

Write the System of Linear Equations as a Matrix Equation $\left\{ \begin{array} { r } - x _ { 1 } + x _ { 2 } = 8 \\- 4 x _ { 1 } + x _ { 2 } = 0\end{array} \right.$