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Son videoda gördük ki,

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ikidəyişənli iki tənlikdən ibarət

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sistem götürüb onu matris tənliyi kimi

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ifadə edə bilərik. Burada A matrisi

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sol tərəfdəki əmsallardır.

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X sütun vektorunda

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iki dəyişən var, S və T.

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B sütun vektoru isə

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buradakı sağ tərəfi təmsil edir.

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Maraqlı olan budur ki,

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A tənliyi, A matrisi

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vur X vektoru

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B vektoruna bərabər olacaq.

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Burada maraqlı olan odur ki,
A matrisinin

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tərsi varsa,

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biz tənliyin həm sol, həm də sa tərəfini

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vura bilərik.

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Onları müvafiq tərəflərinin solunda

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A matrisinin tərsi ilə vurmalıyıq.

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Çünki bunu xatırlayırıq.

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Matrisləri vurarkən sıra vacib olduqda

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tənliyin hər iki tərəfində

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sol tərəfləri çoxaldırıq.

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Bunu etsək,

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naməlum vektorun həllinə çatırıq.

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X vektorunu
bilsək,

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S və T-nin nə olduğunu bilərik.

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Sonra biz bu tənliklər

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sistemini həll etmiş olacağıq.

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Gəlin, bunu edək.

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Gəlin A-nın tərsini tapaq və

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onu B vektorua vuraq.

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Bununla X vektorunu,

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S və T-ni tapacağıq.

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A-nın tərsi

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1 böl onun determinantına bərabərdir.

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2x2 ölçülü A-nın determinantı

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2 vur 4 çıx mənfi iki vur mənfi 5-ə

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bərabər olacaq.

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Bu 8 çıx müsbət 10 olacaq,

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8 çıx müsbət 10.

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Bu da mənfi ikiyə bərabəridir.

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Burada mənfi iki olacaq.

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Yenə: 2 vur 4 8-dir, çıx

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mənfi 2 vur mənfi 5 müsbət 10-dur.

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Cavab mənfi ikidir.

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