الجبر الخطي الأمثلة

$3 [\begin{array}{c} 0 & 0 & 2 \\ 3 & 1 & 0 \\ 0 & - 2 & 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1

بسّط كل حد.

انقر لعرض المزيد من الخطوات...

خطوة 1.1

اضرب $3$ في كل عنصر من عناصر المصفوفة.

$[\begin{array}{c} 3 \cdot 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2

بسّط كل عنصر في المصفوفة.

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خطوة 1.2.1

اضرب $3$ في $0$ .

$[\begin{array}{c} 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.2

اضرب $3$ في $0$ .

$[\begin{array}{c} 0 & 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.3

اضرب $3$ في $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.4

اضرب $3$ في $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.5

اضرب $3$ في $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.6

اضرب $3$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.7

اضرب $3$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.8

اضرب $3$ في $- 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.2.9

اضرب $3$ في $4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.3

اضرب $- 2$ في كل عنصر من عناصر المصفوفة.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4

بسّط كل عنصر في المصفوفة.

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خطوة 1.4.1

اضرب $- 2$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.2

اضرب $- 2$ في $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.3

اضرب $- 2$ في $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.4

اضرب $- 2$ في $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.5

اضرب $- 2$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.6

اضرب $- 2$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.7

اضرب $- 2$ في $7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.8

اضرب $- 2$ في $- 6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.4.9

اضرب $- 2$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.5

اضرب $8$ في كل عنصر من عناصر المصفوفة.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 \cdot 1 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6

بسّط كل عنصر في المصفوفة.

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خطوة 1.6.1

اضرب $8$ في $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.2

اضرب $8$ في $- 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.3

اضرب $8$ في $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.4

اضرب $8$ في $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.5

اضرب $8$ في $4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.6

اضرب $8$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.7

اضرب $8$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.8

اضرب $8$ في $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

خطوة 1.6.9

اضرب $8$ في $- 1$ .

خطوة 1.7

اضرب $- 4$ في كل عنصر من عناصر المصفوفة.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} - 4 \cdot 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8

بسّط كل عنصر في المصفوفة.

انقر لعرض المزيد من الخطوات...

خطوة 1.8.1

اضرب $- 4$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.2

اضرب $- 4$ في $25$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.3

اضرب $- 4$ في $12$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.4

اضرب $- 4$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.5

اضرب $- 4$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.6

اضرب $- 4$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.7

اضرب $- 4$ في $6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.8

اضرب $- 4$ في $75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.9

اضرب $- 4$ في $8$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.10

اضرب $- 4$ في $75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.11

اضرب $- 4$ في $7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.12

اضرب $- 4$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.13

اضرب $- 4$ في $- 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.14

اضرب $- 4$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.15

اضرب $- 4$ في $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.16

اضرب $- 4$ في $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.17

اضرب $- 4$ في $- 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & - 4 \cdot 0 \end{array}]$

خطوة 1.8.18

اضرب $- 4$ في $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 2

اجمع العناصر المتناظرة.

$[\begin{array}{c} 0 + 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3

Simplify each element.

انقر لعرض المزيد من الخطوات...

خطوة 3.1

أضف $0$ و $0$ .

$[\begin{array}{c} 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.2

اطرح $4$ من $0$ .

$[\begin{array}{c} 0 & - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.3

اطرح $2$ من $6$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.4

اطرح $6$ من $9$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.5

أضف $3$ و $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.6

اطرح $10$ من $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.7

اطرح $14$ من $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.8

أضف $- 6$ و $12$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 3.9

أضف $12$ و $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 4

اجمع العناصر المتناظرة.

$[\begin{array}{c} 0 + 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5

Simplify each element.

انقر لعرض المزيد من الخطوات...

خطوة 5.1

أضف $0$ و $8$ .

$[\begin{array}{c} 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.2

اطرح $8$ من $- 4$ .

$[\begin{array}{c} 8 & - 12 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.3

أضف $4$ و $16$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.4

أضف $3$ و $24$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.5

أضف $3$ و $32$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.6

أضف $- 10$ و $40$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.7

أضف $- 14$ و $0$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.8

أضف $6$ و $8$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

خطوة 5.9

اطرح $8$ من $12$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 4 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$