Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } x + y + z = 8 \\x + 2 y + z = 10 \\x + y + 2 z = 11\end{array} \right.$

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. $\left\{ \begin{array} { l } x + y + z = 8 \\x + 2 y + z = 10 \\x + y + 2 z = 11\end{array} \right.$