الرياضيات المتناهية الأمثلة

$[\begin{array}{c} 3 & 12 & - 9 & 12 \\ 4 & 16 & - 12 & 16 \end{array}]$

خطوة 1

Multiply each element of $R_{1}$ by $\frac{1}{3}$ to make the entry at $1, 1$ a $1$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.1

Multiply each element of $R_{1}$ by $\frac{1}{3}$ to make the entry at $1, 1$ a $1$ .

$[\begin{array}{c} \frac{3}{3} & \frac{12}{3} & \frac{- 9}{3} & \frac{12}{3} \\ 4 & 16 & - 12 & 16 \end{array}]$

خطوة 1.2

بسّط $R_{1}$ .

$[\begin{array}{c} 1 & 4 & - 3 & 4 \\ 4 & 16 & - 12 & 16 \end{array}]$

خطوة 2

Perform the row operation $R_{2} = R_{2} - 4 R_{1}$ to make the entry at $2, 1$ a $0$ .

انقر لعرض المزيد من الخطوات...

خطوة 2.1

Perform the row operation $R_{2} = R_{2} - 4 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & 4 & - 3 & 4 \\ 4 - 4 \cdot 1 & 16 - 4 \cdot 4 & - 12 - 4 \cdot - 3 & 16 - 4 \cdot 4 \end{array}]$

خطوة 2.2

بسّط $R_{2}$ .

$[\begin{array}{c} 1 & 4 & - 3 & 4 \\ 0 & 0 & 0 & 0 \end{array}]$