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Консультация № 191204
30.06.2017, 04:35
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: 4. Решить системы линейных уравнений методом Жордана-Гаусса
а) Х1 + Х2 + Х3+Х4 = 6
Х1+Х2 - Х3-Х4 = 0
Х1 -Х2 +Х3-Х4 = 4
Х1-Х2 - Х3+Х4 = 2
б) 9Х1 +4Х2 + Х3 + 7Х4 = 2
2Х1+7Х2 + 3Х3 + Х4 = 6
3Х1 +5Х2 +2Х3 + 2Х4 = 4
в) Х1 + 2Х2 + 3Х3 = 2
Х1 + Х2 +2Х3 = 1
3Х1 + 5Х2 +8Х3 = 0
-Х1 + Х2 + 4Х3 = 2
а) Х1 + Х2 + Х3+Х4 = 6
Х1+Х2 - Х3-Х4 = 0
Х1 -Х2 +Х3-Х4 = 4
Х1-Х2 - Х3+Х4 = 2
б) 9Х1 +4Х2 + Х3 + 7Х4 = 2
2Х1+7Х2 + 3Х3 + Х4 = 6
3Х1 +5Х2 +2Х3 + 2Х4 = 4
в) Х1 + 2Х2 + 3Х3 = 2
Х1 + Х2 +2Х3 = 1
3Х1 + 5Х2 +8Х3 = 0
-Х1 + Х2 + 4Х3 = 2
Обсуждение
30.06.2017, 09:30
общий
Адресаты:
Посмотрите примеры здесь http://www.mathprofi.ru/metod_zhordano_gaussa_nahozhdenie_obratnoi_matricy.html и здесь http://math1.ru/education/sys_lin_eq/gjordan.html
Очень подробно описано, у Вас все получиться по примерам. Начинайте решать, и я с удовольствием посмотрю и подскажу, если будут ошибки. А выставлять всю контрольную для решения экспертами не очень красиво.
Очень подробно описано, у Вас все получиться по примерам. Начинайте решать, и я с удовольствием посмотрю и подскажу, если будут ошибки. А выставлять всю контрольную для решения экспертами не очень красиво.
30.06.2017, 18:30
общий
это ответ
Здравствуйте, asdf1234!
Решим методом Йордана - Гаусса систему уравнений
Составим расширенную матрицу системы и приведём её к ступенчатому виду:
Последней матрице соответствует система уравнений
Из уравнений
получим 
Из уравнений 
получим 
Из уравнений 
получим 
Следовательно, решением заданной системы уравнений является 
Решим методом Йордана - Гаусса систему уравнений
Составим расширенную матрицу системы и приведём её к ступенчатому виду:
Последней матрице соответствует система уравнений
Из уравнений
получим Из уравнений получим Из уравнений получим Следовательно, решением заданной системы уравнений является
Об авторе:
Facta loquuntur.
Facta loquuntur.
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