Q. Find the inverse Of the matrix$\left[\begin{array}{ccc}1& -1& 1\\ 2& 1& -3\\ 1& 1& 1\end{array}\right]$ and with the help of this solve the system of equation: 

$\left[\begin{array}{ccc}1& 0& 1\\ 2& 1& 0\\ 0& 1& 1\end{array}\right]\left[\begin{array}{c}x\\ y\\ z\end{array}\right]=\frac{1}{2}\left[\begin{array}{c}2y\\ 6z\\ -2x\end{array}\right]+2\left[\begin{array}{c}2\\ 0\\ 1\end{array}\right]$