3 тәжірибелік сабақ. Сызықтық теңдеулер жүйесі.
Мақсаты: СТЖ ұғымын енгізу, оны шешу жолдарын қарастыру. Кері матрица, Крамер, Гаусс әдістерін қолдану.
Талқылайтың сұрақтар:
Сызықтық теңдеу, сызықтық теңдеудін шешуін анықтау. Сызықтық теңдеулердің теңдігі. Шешуінің жалпы түрі.
Сызықтық теңдеулер жүйесі: Сызықтық теңдеулер жүйесінің шешімін анықтау. Теңдеулер жүйесінің қасиеттері: үйлесімдік, үйлесімсіздік, анықталғандық, анықталмағандық.
Сызықтық теңдеулер жүйесінің эквивалентігі. Эквивалентік сызықтық теңдеулер жүйесіне келетірілетің жүйелердін элементар түрлендірулері.
Сызықтық теңдеулер жүйесін Гаусс әдісімен шешу.
Гаусс әдісінің тура жолынын аяқталуының уш нұсқасы: А) жүйе үйлесімсіз, Б) жүйе үйлесімді және анықталмаған, В) жүйе үйлесімді және анықталған.
Сызықтық теңдеулер жүйесінің жалпы және дербес шешімі.
Мысал 1. Крамер формуласы бойынша теңдеулер жүйесін шеш:
Шешуі:
![](data:image/png;base64,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)
Достарыңызбен бөлісу: |