3) Матрица әдісі. (10) теңдеулер жүйесін матрицалық түрде жазамыз . (9 теңдеуі)
(5) формуласы бойынша А матрицасына кері матрицасын табамыз. Енді (9) теңдеуін сол жағынан -ге көбейтіп және екенін ескеріп,
түрінде (9) теңдеуінің шешімін табамыз.
белгісізі бар теңдеулер жүйесін зерттеу және үйлесімді болған жағдайда шешімін табу әдісі
Кронекер-Капелли теоремасы. Біртекті емес (6) сызықты теңдеулер жүйесі үйлесімді болу үшін осы жүйенің негізгі матрицасының рангі оның кеңейтілген матрицасының рангіне тең болуы:
![](data:image/png;base64,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) қажетті және жеткілікті.
Бұл теорема арқылы жүйенің үйлесімді немесе үйлесімсіз болатыны шешіледі.
Жүйе үйлесімді болған жағдайда төмендегі екі жағдай қарастырылады:
1) , - белгісіздер саны, . Бұл жағдайда теңдеулер жүйесі үйлесімді және анықталған. Сондықтан жүйенің шешімі жоғарыда аталған үш әдістің біреуі арқылы анықталады.
2) , - белгісіздер саны, . Бұл жағдайда теңдеулер жүйесі үйлесімді және анықталмаған. А матрицасының кез келген -ретті нөлге тең емес минорын негізгі деп жариялап, осы минордың элементтері коэффициенттері болатын белгісізді негізгі белгісіздер деп аламыз. Мысалы, негізгі минор:
болса, негізгі белгісіздер болады. Қалған белгісіздер еркін параметрлер рөлін атқарып, теңдеулер жүйесі мына түрде жазылады:
Бұл жүйеден Крамер, Гаусс, матрица әдістерінің біреуін қолданып белгісіздерін табамыз. Белгісіздердің мәні еркін параметрлерден тәуелді болады.
Біртекті теңдеулер жүйесі осыған ұқсас шешіледі. Бұл жүйе әрқашан үйлесімді. Себебі, негізгі матрицаға біріңғай нөлден тұратын тік жолды қосу оның рангін өзгертпейді. Демек,
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) Бұл жүйе үшін де төмендегі екі жағдай қарастырылады: 1) . Бұл жағдайда біртекті теңдеулер жүйесінің бірден-бір нөлдік (0,0,...,0) шешімі болады. Бұл шешім
Достарыңызбен бөлісу: |