Precalculus Examples

$[\begin{array}{c} 2 & 2 & 2 & 2 & 2 \\ 5 & 5 & 5 & 5 & 5 \end{array}]$

Step 1

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

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Step 1.1

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

$[\begin{array}{c} \frac{2}{2} & \frac{2}{2} & \frac{2}{2} & \frac{2}{2} & \frac{2}{2} \\ 5 & 5 & 5 & 5 & 5 \end{array}]$

Step 1.2

Simplify $R_{1}$ .

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

Step 2

Perform the row operation $R_{2} = R_{2} - 5 R_{1}$ to make the entry at $2, 1$ a $0$ .

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Step 2.1

Perform the row operation $R_{2} = R_{2} - 5 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & 1 & 1 & 1 & 1 \\ 5 - 5 \cdot 1 & 5 - 5 \cdot 1 & 5 - 5 \cdot 1 & 5 - 5 \cdot 1 & 5 - 5 \cdot 1 \end{array}]$

Step 2.2

Simplify $R_{2}$ .

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