Let \begin{equation*} E=\begin{bmatrix} 1 & -1 & 3 & -2 & 1\\ -2 & 3 & -5 & 3 & -1\\ 1 & -1 & 4 & -2 & 2\\ -1 & 4 & -1 & 0 & 2\\ 1 & 0 & 5 & -2 & 4 \end{bmatrix} \end{equation*} Compute the inverse of $E$, $\inverse{E}$, by forming the $5\times 10$ matrix $\augmented{E}{I_5}$ and row-reducing (Theorem CINM). Then use a calculator to compute $\inverse{E}$ directly.