(Solved): (1 point) Given the augmented matrix \[ A=\left[\begin{array}{rrr|r} 1 & -1 & 1 & -2 \\ 3 & -2 & - ...

(1 point) Given the augmented matrix \[ A=\left[\begin{array}{rrr|r} 1 & -1 & 1 & -2 \\ 3 & -2 & -2 & 2 \\ -4 & 1 & -5 & -2 \end{array}\right] \] perform each row operation in the order specified and enter the final result. First: \( R_{2}-3 R_{1} \rightarrow R_{2} \), Second: \( R_{3}+4 R_{1} \rightarrow R_{3} \), Third: \( R_{3}+3 R_{2} \rightarrow R_{3} \).