Answer
The answer is $\left(\begin{array}{cc|c}
1 & -\frac{3}{2} & 4 \\
-6 & 9 & 4 \\
\end{array}\right)$
Work Step by Step
The given matrix is
$\left(\begin{array}{cc|c}
-6 & 9 & 4 \\
1 & -\frac{3}{2} & 4 \\
\end{array}\right)$
Perform $R_1\leftrightarrow R_2$
Interchange row 1 with row 2 as shown below
$\left(\begin{array}{cc|c}
1 & -\frac{3}{2} & 4 \\
-6 & 9 & 4 \\
\end{array}\right)$