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55
خطوة 1
المصفوفة المتطابقة أو مصفوفة الوحدة ذات الحجم 55 هي المصفوفة المربعة 5×55×5 التي تكون فيها جميع العناصر الواقعة على القطر الرئيسي مساوية لواحد بينما تكون جميع عناصرها في أي مكان آخر مساوية لصفر.
[1000001000001000001000001]⎡⎢
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⎢⎣1000001000001000001000001⎤⎥
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⎥⎦
خطوة 2
Multiply the scalar 55 by the identity matrix.
5[1000001000001000001000001]5⎡⎢
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⎢⎣1000001000001000001000001⎤⎥
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خطوة 3
خطوة 3.1
اضرب 55 في كل عنصر من عناصر المصفوفة.
[5⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣5⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2
بسّط كل عنصر في المصفوفة.
خطوة 3.2.1
اضرب 55 في 11.
[55⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣55⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.2
اضرب 55 في 00.
[505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.3
اضرب 55 في 00.
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
⎥
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خطوة 3.2.4
اضرب 55 في 00.
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.5
اضرب 55 في 00.
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.6
اضرب 55 في 00.
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.7
اضرب 55 في 11.
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.8
اضرب 55 في 00.
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
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⎢⎣500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.9
اضرب 55 في 00.
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.10
اضرب 55 في 00.
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.11
اضرب 55 في 00.
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
⎢
⎢⎣500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.12
اضرب 55 في 00.
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.13
اضرب 55 في 11.
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢
⎢
⎢
⎢
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⎢⎣50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥
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خطوة 3.2.14
اضرب 5 في 0.
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.15
اضرب 5 في 0.
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.16
اضرب 5 في 0.
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.17
اضرب 5 في 0.
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.18
اضرب 5 في 0.
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.19
اضرب 5 في 1.
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.20
اضرب 5 في 0.
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
خطوة 3.2.21
اضرب 5 في 0.
[5000005000005000005005⋅05⋅05⋅05⋅1]
خطوة 3.2.22
اضرب 5 في 0.
[50000050000050000050005⋅05⋅05⋅1]
خطوة 3.2.23
اضرب 5 في 0.
[500000500000500000500005⋅05⋅1]
خطوة 3.2.24
اضرب 5 في 0.
[5000005000005000005000005⋅1]
خطوة 3.2.25
اضرب 5 في 1.
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]