Write the augmented matrix for the system of linear equations.
$$\left\{ \begin{aligned}
x + 4 y - z & = - 9 \
- 9 y + 4 z & = - 6 \
x + 5 z & = - 4
\end{aligned} \right.$$
A) $\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \ 1 & - 9 & 4 & - 6 \ 1 & 1 & 5 & - 4 \end{array} \right]$
B)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \ 0 & - 9 & 4 & - 6 \ 1 & 0 & 5 & - 4 \end{array} \right]$
C)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \ & - 9 & 4 & - 6 \ 1 & & 5 & - 4 \end{array} \right]$
D)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \ - 9 & 4 & 0 & - 6 \ 1 & 5 & 0 & - 4 \end{array} \right]$
E)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \ 0 & - 9 & 4 & - 6 \ 1 & 5 & 0 & - 4 \end{array} \right]$ ]

Question

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations with each row corresponding to each equation and the last column representing the constants on the right-hand side of the equations.

Write the Augmented Matrix for the System of Linear Equations {x+4y−z=−9−9y+4z=−6x+5z=−4\left\{ \begin{aligned}x + 4 y - z & = - 9 \\- 9 y + 4 z & = - 6 \\x + 5 z & = - 4\end{aligned} \right.⎩⎨⎧​x+4y−z−9y+4zx+5z​=−9=−6=−4​

Write the Augmented Matrix for the System of Linear Equations $\left\{ \begin{aligned}x + 4 y - z & = - 9 \\- 9 y + 4 z & = - 6 \\x + 5 z & = - 4\end{aligned} \right.$