Show how to find the inverse of the matrix \(M= \left[\begin{array}{cccc} 0 & -1 & -2 & -2 \\ -3 & 4 & 7 & -7 \\ -2 & 1 & -1 & -4 \\ 1 & 0 & 1 & 4 \end{array}\right] \).
Answer:
\[M^{-1}= \left[\begin{array}{cccc} -35 & -6 & -11 & -39 \\ -35 & -6 & -10 & -38 \\ 11 & 2 & 3 & 12 \\ 6 & 1 & 2 & 7 \end{array}\right] \]