الرياضيات المتناهية الأمثلة

$[\begin{array}{c} - 5 & 2 & 2 \\ - 15 & 6 & 6 \end{array}]$

خطوة 1

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

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خطوة 1.1

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

$[\begin{array}{c} - \frac{1}{5} \cdot - 5 & - \frac{1}{5} \cdot 2 & - \frac{1}{5} \cdot 2 \\ - 15 & 6 & 6 \end{array}]$

خطوة 1.2

بسّط $R_{1}$ .

$[\begin{array}{c} 1 & - \frac{2}{5} & - \frac{2}{5} \\ - 15 & 6 & 6 \end{array}]$

خطوة 2

Perform the row operation $R_{2} = R_{2} + 15 R_{1}$ to make the entry at $2, 1$ a $0$ .

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خطوة 2.1

Perform the row operation $R_{2} = R_{2} + 15 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & - \frac{2}{5} & - \frac{2}{5} \\ - 15 + 15 \cdot 1 & 6 + 15 (- \frac{2}{5}) & 6 + 15 (- \frac{2}{5}) \end{array}]$

خطوة 2.2

بسّط $R_{2}$ .

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