Show how to find the inverse of the matrix \(N= \left[\begin{array}{cccc} -1 & 1 & -2 & -3 \\ 1 & -2 & 4 & 3 \\ -1 & 2 & -3 & -4 \\ 0 & -2 & 7 & -2 \end{array}\right] \).
Answer:
\[N^{-1}= \left[\begin{array}{cccc} 4 & 14 & 9 & -3 \\ -5 & -9 & -4 & 2 \\ -2 & -4 & -2 & 1 \\ -2 & -5 & -3 & 1 \end{array}\right] \]