Answer
$\left[\begin{array}{ccc|c}
1 & -1 & \frac{1}{2}&-\frac{1}{2}\\
1 & 2& -1& 2\\
6&4&3&5
\end{array}\right]$.
Work Step by Step
The given matrix is
$\Rightarrow \left[\begin{array}{ccc|c}
2 & -2 & 1&-1\\
1 & 2& -1& 2\\
6&4&3&5
\end{array}\right]$
Perform $R_1\rightarrow \frac{1}{2}R_1$.
Divide the first row by $2$.
$\Rightarrow \left[\begin{array}{ccc|c}
\frac{2}{2} & \frac{-2}{2} & \frac{1}{2}&\frac{-1}{2}\\
1 & 2& -1& 2\\
6&4&3&5
\end{array}\right]$
Simplify.
$\Rightarrow \left[\begin{array}{ccc|c}
1 & -1 & \frac{1}{2}&-\frac{1}{2}\\
1 & 2& -1& 2\\
6&4&3&5
\end{array}\right]$.
