Given the matrix $$\left[\begin{array}{ccc} -2 &-5 &1\cr -1 &1 &-1\cr 1 &1 &0 \end{array}\right]$$
(a) does the inverse of the matrix exist? Choose Yes No
(b) if your answer is yes, enter the inverse of the matrix below.
$\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$