Precalculus Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify $R_{2}$ .

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

Step 2

Perform the row operation $R_{1} = R_{1} + 3 R_{2}$ to make the entry at $1, 2$ a $0$ .

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Step 2.1

Perform the row operation $R_{1} = R_{1} + 3 R_{2}$ to make the entry at $1, 2$ a $0$ .

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

Step 2.2

Simplify $R_{1}$ .

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