Let \begin{equation*} C= \begin{bmatrix} 1 & 1 & 3 & 1\\ -2 & -1 & -4 & -1\\ 1 & 4 & 10 & 2\\ -2 & 0 & -4 & 5 \end{bmatrix} \end{equation*} Compute the inverse of $C$, $\inverse{C}$, by forming the $4\times 8$ matrix $\augmented{C}{I_4}$ and row-reducing (Theorem CINM). Then use a calculator to compute $\inverse{C}$ directly.