Algebra Examples

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

Step 1

Multiply each element of $R_{1}$ by $\frac{1}{5}$ to make the entry at $1, 1$ a $1$ .

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Multiply each element of $R_{1}$ by $\frac{1}{5}$ to make the entry at $1, 1$ a $1$ .

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

Simplify $R_{1}$ .

$[\begin{array}{c} 1 \\ 2 \end{array}]$

Step 2

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

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

$[\begin{array}{c} 1 \\ 2 - 2 \cdot 1 \end{array}]$

Simplify $R_{2}$ .

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