Finite Math Examples

$[\begin{array}{c} 1 & 0 & 0 & - 1 \\ 0 & 1 & 0 & - 2 \\ 0 & 0 & 2 & - 3 \end{array}]$

Step 1

Multiply each element of $R_{3}$ by $\frac{1}{2}$ to make the entry at $3, 3$ a $1$ .

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

Step 2

Simplify $R_{3}$ .

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