(Solved): Find the inverse of the given nonsingular matrix. \[ \left[\begin{array}{rrr} 1 & -1 & -1 \\ 0 & - ...

Find the inverse of the given nonsingular matrix. \[ \left[\begin{array}{rrr} 1 & -1 & -1 \\ 0 & -2 & -1 \\ -2 & -3 & 0 \end{array}\right] \] The inverse of the matrix \( \left[\begin{array}{rrr}1 & -1 & -1 \\ 0 & -2 & -1 \\ -2 & -3 & 0\end{array}\right] \) is (Type an integer or simplified fraction for each matrix element.)