(Solved): Use the Gauss-Jordan reduction to solve the following linear system: \( \left\{\begin{aligned} x_{ ...

Use the Gauss-Jordan reduction to solve the following linear system: \( \left\{\begin{aligned} x_{1}-x_{2}-3 x_{3} &=& 2 \\ 3 x_{1}-2 x_{2}-6 x_{3} &=9 \\ 2 x_{1} &+0 x_{3} &=10 \end{aligned}\right. \) \( \left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}\right]=[]+s[ \)