Write the Augmented Matrix for the System of Linear Equations $$\left\{ \begin{aligned}x + 7 y + 7 z & = - 6 \\3 y + 3 z & = 6 \\x + 7 z & = - 7\end{aligned} \right.$$

Multiple Choice

Write the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}x + 7 y + 7 z & = - 6 \\3 y + 3 z & = 6 \\x + 7 z & = - 7\end{aligned} \right.$$

A) $\left[ \begin{array} { r r r r r } 1 & 7 & 7 & \vdots & - 6 \\1 & 3 & 3 & \vdots & 6 \\1 & 1 & 7 & \vdots & - 7\end{array} \right]$
B) $\left[ \begin{array} { r r r r r } 1 & 7 & 7 & \vdots & - 6 \\1 & 3 & 3 & \vdots & 6 \\1 & 0 & 7 & \vdots & - 7\end{array} \right]$
C) $\left[ \begin{array} { r r r r r } 1 & 7 & 7 & \vdots & - 6 \\& 3 & 3 & \vdots & 6 \\1 & & 7 & \vdots & - 7\end{array} \right]$
D) $\left[ \begin{array} { r r r r r } 1 & 7 & 7 & \vdots & - 6 \\3&33&0 & \vdots & 6 \\1 & 7 &0& \vdots & - 7\end{array} \right]$
E) $\left[ \begin{array} { r r r r r } 1 & 7 & 7 & \vdots & - 6 \\0 & 3 & 3 & \vdots & 6 \\1 & 7 & 0 & \vdots & - 7\end{array} \right]$