# [SOLVED]complete augmented by row operations

#### karush

##### Well-known member
$\left[ \begin{array}{rrrr|r} 1& -5& 4& 0&0\\ 0& 1& 0& 1&0\\ 0& 0& 3& 0&0\\ 0& 0& 0& 2&0 \end{array}\right]$
OK my first move on this is $r_3/3$ and $r_4/2$.
 $\left[ \begin{array}{rrrr|r} 1& -5& 4& 0&0\\ 0& 1& 0& 1&0\\ 0& 0& 1& 0&0\\ 0& 0& 0& 1&0 \end{array}\right]$ $r_2-r_4=r_2\quad$ doesn't this whole thing zero out?

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#### skeeter

##### Well-known member
MHB Math Helper
yep ... reduced row-echelon form is

$\begin{bmatrix} 1 & 0 & 0 & 0 &0\\ 0 & 1 & 0 &0 &0 \\ 0 & 0 & 1 & 0 &0 \\ 0 & 0 & 0 & 1 & 0 \end{bmatrix}$