Use Gauss-Jordan Elimination on the Augmented Matrix [A|B] to Solve $$\left\{ \begin{aligned}- x _ { 1 } + x _ { 2 } & = 7 \\- 2 x _ { 1 } + x _ { 2 } & = 0\end{aligned} \right.$$

Multiple Choice

Use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X. $$\left\{ \begin{aligned}- x _ { 1 } + x _ { 2 } & = 7 \\- 2 x _ { 1 } + x _ { 2 } & = 0\end{aligned} \right.$$

A) $\left[ \begin{array} { c } - 7 \\- 14\end{array} \right]$
B) $\left[ \begin{array} { c } 7 \\14\end{array} \right]$
C) $\left[ \begin{array} { c } 7 \\- 14\end{array} \right]$
D) $\left[ \begin{array} { c } - 7 \\14\end{array} \right]$
E) $\left[ \begin{array} { c } 14 \\7\end{array} \right]$