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

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) $$\left[ \begin{array} { c } 14 \\7\end{array} \right]$$