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Консультация № 202670
25.04.2022, 18:37
0.00 руб.
0
9
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В ортонормированном базисе четырехмерного евклидова пространства пара векторов задана координатными столбцами: g1 = (1, 1, 2, 0), g2 = (1, 0, 1, ?1). Дополнить эту систему векторов до ортогонального базиса.
В ортонормированном базисе четырехмерного евклидова пространства пара векторов задана координатными столбцами: g1 = (1, 1, 2, 0), g2 = (1, 0, 1, ?1). Дополнить эту систему векторов до ортогонального базиса.
Обсуждение
26.04.2022, 23:32
общий
Адресаты:
Здравствуйте, Виктор!
А являются ли заданные векторы, которые должны входить в систему базисных, ортогональными?
А являются ли заданные векторы, которые должны входить в систему базисных, ортогональными?
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2022, 18:01
общий
это ответ
Здравствуйте, Виктор!
Вы в очередной раз поместили эту задачу для получения консультации. однако не хотите ответить на сообщение в мини-форуме. Так вот, два заданных вектора не могут быть базисными векторами ортогонального базиса, потому что они не ортогональны, то есть их скалярное произведение не равно нулю:
Символом "
" я обозначил операцию умножения двух чисел.
Вы в очередной раз поместили эту задачу для получения консультации. однако не хотите ответить на сообщение в мини-форуме. Так вот, два заданных вектора не могут быть базисными векторами ортогонального базиса, потому что они не ортогональны, то есть их скалярное произведение не равно нулю:
Символом "
" я обозначил операцию умножения двух чисел.
5
Огромное спасибо! Я на этом этапе и застрял, думая что такого быть не может и в моем решении ошибка. Спасибо вам большое!!!!
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2022, 18:28
общий
Адресаты:
то есть умножением доказывается, что это невозможно и все? или я что-то до конца не понял?
28.04.2022, 18:28
общий
Адресаты:
Вы получили от меня ответ. Два заданных вектора не являются ортогональными, поэтому их невозможно дополнить до ортогонального базиса.
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2022, 18:30
общий
Адресаты:
Виктор то есть умножением доказывается, что это невозможно и все?
Как я понимаю, да.
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2022, 18:56
общий
Адресаты:
У меня сложилось мнение, что Вы, несмотря на повышенный уровень выдаваемых Вам заданий по сравнению со стандартным курсом высшей математики, что связано со спецификой специальности, по которой Вы получаете высшее образование, математики не изучаете. Это плохо. 
Об авторе:
Facta loquuntur.
Facta loquuntur.
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