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) $\left[\begin{array}{cccl}1 & 14 & -12 & :12 \\5 & -4 & 5 & :0\\12 & 1 & 0 & :9\end{array}\right]$
C) ​ $\left[\begin{array}{cccl}1 & 14 & -12 & :12 \\5 & 4 & 5 & :0\\12 & 1 & 0 & :9\end{array}\right]$
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) ​ $\left[\begin{array}{cccl}1 & 14 & -12 & :12 \\5 & -4 & 5 & :0\\12 & 1 & 9 & :0\end{array}\right]$