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Консультация № 191808
20.11.2017, 14:10
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Уважаемые эксперты!Добрый вечер! Пожалуйста, ответьте на вопрос:
Решить систему уравнений методом Гаусса, указать фундаментальную систему решений соответствующей однородной системы и записать общее решение в векторной форме:
8x+29y+z=42
x+y+z=3
7x+27y+z=39
систему уравнений методом Гаусса я решила, получила ответ x1=3/7, x2=9/7, x3=9/7. Верно? и у меня вопрос как записать решение в векторной форме? ( не расписала решение по Гауссу, т.к. не знаю как здесь правильно вводить большие скобки и т.д.) Заранее благодарю.
Решить систему уравнений методом Гаусса, указать фундаментальную систему решений соответствующей однородной системы и записать общее решение в векторной форме:
8x+29y+z=42
x+y+z=3
7x+27y+z=39
систему уравнений методом Гаусса я решила, получила ответ x1=3/7, x2=9/7, x3=9/7. Верно? и у меня вопрос как записать решение в векторной форме? ( не расписала решение по Гауссу, т.к. не знаю как здесь правильно вводить большие скобки и т.д.) Заранее благодарю.
Обсуждение
20.11.2017, 15:33
общий
Адресаты:
Решением заданной системы уравнений является 
Какая у Вас получилась фундаментальная система решений соответствующей однородной системы уравнений?
Какая у Вас получилась фундаментальная система решений соответствующей однородной системы уравнений?
Об авторе:
Facta loquuntur.
Facta loquuntur.
20.11.2017, 16:09
общий
это ответ
Здравствуйте, Polina!
Решением заданной системы уравнений является
Ранг матрицы соответствующей однородной системы уравнений равен числу неизвестных, то есть трём. Поэтому однородная система имеет только нулевое решение:
что в векторной форме записывается так:
Решением заданной системы уравнений является
Ранг матрицы соответствующей однородной системы уравнений равен числу неизвестных, то есть трём. Поэтому однородная система имеет только нулевое решение:
что в векторной форме записывается так:
5
Благодарю за разъяснения!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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