4.5 Exercise 41

Perform the indicated operations on the augmented matrices.

Perform the needed row operations that will get the first entry in both row 2 and row 3 to be zero in the augmented matrix: $\left[\right. \begin{aligned}1 & & & −2 & & & 3 \\ 3 & & & −1 & & & −2 \\ 2 & & & −3 & & & −4\end{aligned} \left|\right. \begin{matrix}−4 \\ 5 \\ −1\end{matrix} \left]\right. .$