Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } 2 x + y - 3 z = - 10 \\3 x - y + 2 z = - 3 \\- 2 x - y - z = - 2\end{array} \right.$

Essay

Use matrices to solve the system of equations. If the equations of the system are dependent, or if the system is inconsistent, so indicate. $\left\{ \begin{array} { l } 2 x + y - 3 z = - 10 \\3 x - y + 2 z = - 3 \\- 2 x - y - z = - 2\end{array} \right.$