Original Matrix

$\left[\begin{array}{cccc}-1& -3& 1& -3\\ 2& -6& 2& -7\\ 4& 5& -7& 6\end{array}\right]$

Multiply Row $2$ by two.

Multiply Row $2$ by four.

Add $2$ times Row $1$ to Row $2.$

Add $4$ times Row $1$ to Row $3.$

Add $4$ times Row $1$ to Row $2.$

New Row$-$Equivalent Matrix

$\left[\begin{array}{cccc}-1& -3& 1& -3\\ 0& -12& 4& -13\\ 0& -7& -3& -6\end{array}\right]$