الرياضيات المتناهية الأمثلة

$[\begin{array}{c} 12 & 3 & 3 \\ - 8 & - 2 & - 2 \end{array}]$

خطوة 1

Multiply each element of $R_{1}$ by $\frac{1}{12}$ to make the entry at $1, 1$ a $1$ .

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خطوة 1.1

Multiply each element of $R_{1}$ by $\frac{1}{12}$ to make the entry at $1, 1$ a $1$ .

$[\begin{array}{c} \frac{12}{12} & \frac{3}{12} & \frac{3}{12} \\ - 8 & - 2 & - 2 \end{array}]$

خطوة 1.2

بسّط $R_{1}$ .

$[\begin{array}{c} 1 & \frac{1}{4} & \frac{1}{4} \\ - 8 & - 2 & - 2 \end{array}]$

خطوة 2

Perform the row operation $R_{2} = R_{2} + 8 R_{1}$ to make the entry at $2, 1$ a $0$ .

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خطوة 2.1

Perform the row operation $R_{2} = R_{2} + 8 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & \frac{1}{4} & \frac{1}{4} \\ - 8 + 8 \cdot 1 & - 2 + 8 (\frac{1}{4}) & - 2 + 8 (\frac{1}{4}) \end{array}]$

خطوة 2.2

بسّط $R_{2}$ .

$[\begin{array}{c} 1 & \frac{1}{4} & \frac{1}{4} \\ 0 & 0 & 0 \end{array}]$