Write the Augmented Matrix for the System of Linear Equations $$\left\{ \begin{aligned}x - 3 y - 2 z & = - 2 \\4 y + 4 z & = 4 \\x + 4 z & = - 2\end{aligned} \right.$$

Multiple Choice

Write the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}x - 3 y - 2 z & = - 2 \\4 y + 4 z & = 4 \\x + 4 z & = - 2\end{aligned} \right.$$

A) $\left[ \begin{array} { c c c c c } 1 & - 3 & - 2 & \vdots & - 2 \\0 & 4 & 4 & \vdots & 4 \\1 & 4 & 0 & \vdots & - 2\end{array} \right]$
B) $\left[ \begin{array} { c c c c c } 1 & - 3 & - 2 & \vdots & - 2 \\4 & 44 & 0 & \vdots & 4 \\1 & 4 & 0 & \vdots & - 2\end{array} \right]$
C) $\left[ \begin{array} { c c c c c } 1 & - 3 & - 2 & \vdots & - 2 \\1 & 4 & 4 & \vdots & 4 \\1 & 1 & 4 & \vdots & - 2\end{array} \right]$
D) $\left[ \begin{array} { c c c c c } 1 & - 3 & - 2 & \vdots & - 2 \\& 4 & 4 & \vdots & 4 \\1 & & 4 & \vdots & - 2\end{array} \right]$
E) $\left[ \begin{array} { c c c c c } 1 & - 3 & - 2 & \vdots & - 2 \\0 & 4 & 4 & \vdots & 4 \\1 & 0 & 4 & \vdots & - 2\end{array} \right]$