Find Reduced Row Echelon Form [[1,0,0,5],[0,2,0,8],[0,0,3,9]]

$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 0 & 2 & 0 & 8 \\ 0 & 0 & 3 & 9 \end{array}]$

Step 1

Multiply each element of $R_{2}$ by $\frac{1}{2}$ to make the entry at $2, 2$ a $1$ .

$[\begin{array}{c} 1 & 0 & 0 & 5 \\ \frac{0}{2} & \frac{2}{2} & \frac{0}{2} & \frac{8}{2} \\ 0 & 0 & 3 & 9 \end{array}]$

Simplify $R_{2}$ .

$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 0 & 1 & 0 & 4 \\ 0 & 0 & 3 & 9 \end{array}]$

Step 2

Multiply each element of $R_{3}$ by $\frac{1}{3}$ to make the entry at $3, 3$ a $1$ .

$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 0 & 1 & 0 & 4 \\ \frac{0}{3} & \frac{0}{3} & \frac{3}{3} & \frac{9}{3} \end{array}]$

Simplify $R_{3}$ .

$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 0 & 1 & 0 & 4 \\ 0 & 0 & 1 & 3 \end{array}]$