Select the Augmented Matrix for the System of Linear Equations $$\left\{ \begin{aligned}x + 14 y - 12 z & = 12 \\5 x - 4 y + 5 z & = 0 \\12 x + y & = 9\end{aligned} \right.$$

Multiple Choice

Select the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}x + 14 y - 12 z & = 12 \\5 x - 4 y + 5 z & = 0 \\12 x + y & = 9\end{aligned} \right.$$

A) $\left[ \begin{array} { c c c c c } 1 & 14 & 12 & \vdots & 12 \\5 & - 4 & 5 & \vdots & 0 \\12 & 1 & 0 & \vdots & 9\end{array} \right]$
B) $\left[ \begin{array} { c c c c } 1&14&-12 &\vdots& 12 \\5&-4&5 &\vdots& 0 \\12&1&0 &\vdots&9\\\end{array} \right]$
C) $\left[ \begin{array} { c c c c } 1&14&-12 &\vdots& 12 \\5&4&5 &\vdots& 0\\12&1&0 &\vdots&9\\\end{array} \right]$
D) $\left[ \begin{array} { c c c c c } 1 & 14 & 12 & \vdots & 12 \\5 & 4 & 5 & \vdots & 0 \\12 & 1 & 0 & \vdots & 9\end{array} \right]$
E) $\left[ \begin{array} { c c c c } 1&14&-12&\vdots& 12 \\5&-4&5 &\vdots& 0 \\12&1&9 &\vdots&0\\\end{array} \right]$