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

Multiple Choice

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) $\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ 0 & - 9 & 4 & - 6 \\ 1 & 5 & 0 & - 4 \end{array} \right]$