Answer
$\left[\begin{array}{c c} 1& 0& 0&0\\ 0& 1/2&0&0\\ 0&0&1/4&0\\0&0&0&1/7\end{array} \right]$
Work Step by Step
Using a graphing calculator (see attached picture), we get the inverse matrix:
$\left[\begin{array}{c c} 1& 0& 0&0\\ 0& 1/2&0&0\\ 0&0&1/4&0\\0&0&0&1/7\end{array} \right]$