Answer
The answer is
$\left(\begin{array}{cc|c}
1 & -3 & 5 \\
0 & 12 &-6 \\
\end{array}\right)$.
Work Step by Step
The given matrix is
$\left(\begin{array}{cc|c}
1 & -3 & 5 \\
2 & 6 & 4 \\
\end{array}\right)$.
Perform $ -2R_2+R_2 $.
Multiply row 2 by $-2 $ and add to the row 2 as shown below.
$\left(\begin{array}{cc|c}
1 & -3 & 5 \\
-2\cdot 1+2 & -2\cdot (-3) +6 &-2\cdot 5+ 4 \\
\end{array}\right)$
Simplify.
$\left(\begin{array}{cc|c}
1 & -3 & 5 \\
-2+2 & 6+6 &-10+ 4 \\
\end{array}\right)$
$\left(\begin{array}{cc|c}
1 & -3 & 5 \\
0 & 12 &-6 \\
\end{array}\right)$.
