Show how to find the inverse of the matrix \(Q= \left[\begin{array}{cccc} -2 & 5 & 1 & 8 \\ -1 & 2 & 6 & 5 \\ -2 & 1 & 1 & 7 \\ 1 & -2 & -1 & -4 \end{array}\right] \).
Answer:
\[Q^{-1}= \left[\begin{array}{cccc} -49 & -13 & -17 & -144 \\ 4 & 1 & 1 & 11 \\ 3 & 1 & 1 & 9 \\ -15 & -4 & -5 & -44 \end{array}\right] \]