Question

change to row echelon form

Answer 1

\[\left[\begin{matrix}2&-4&|&20\\
3&1&|&16\end{matrix}\right]\]
(1. Multiply the first row by -1/2)
\[\left[\begin{matrix}1&-2&|&10\\
3&1&|&16\end{matrix}\right]\]
(2. Multiply first row by -3 and add to second row)
\[\left[\begin{matrix}1&-2&|&10\\
0&7&|&-14\end{matrix}\right]\]
(3. Multiply the second row by 1/7)
\[\left[\begin{matrix}1&-2&|&10\\
0&1&|&-2\end{matrix}\right]\]
(4. Multiply the second row by 2 and add to the first row)
\[\left[\begin{matrix}1&0&|&6\\
0&1&|&-2\end{matrix}\right]\]