[tex] \left[\begin{array}{ccc}1&-6&-3|4\\-2&0&-3|-8\\-2&2&-3|-14\end{array}\right] [/tex] mulstiply 2nd row by -1 and add to 3rd [tex] \left[\begin{array}{ccc}1&-6&-3|4\\-2&0&-3|-8\\0&2&0|-6\end{array}\right][/tex] divde last row by 2 [tex] \left[\begin{array}{ccc}1&-6&-3|4\\-2&0&-3|-8\\0&1&0|-3\end{array}\right][/tex] multiply 2rd row by 6 and add to top one [tex] \left[\begin{array}{ccc}1&0&-3|-14\\-2&0&-3|-8\\0&1&0|-3\end{array}\right][/tex] multiply 1st row by -1 and add to 2nd [tex] \left[\begin{array}{ccc}1&0&-3|-14\\-3&0&0|6\\0&1&0|-3\end{array}\right][/tex] divide 2nd row by -3 [tex] \left[\begin{array}{ccc}1&0&-3|-14\\1&0&0|-2\\0&1&0|-3\end{array}\right][/tex] mulstiply 2nd row by -1 and add to 1st row [tex] \left[\begin{array}{ccc}0&0&-3|-12\\1&0&0|-2\\0&1&0|-3\end{array}\right][/tex] divide 1st row by -3 [tex] \left[\begin{array}{ccc}0&0&1|4\\1&0&0|-2\\0&1&0|-3\end{array}\right][/tex]
