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Консультация № 194027
28.11.2018, 23:23
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Образует ли заданное множество векторов с естественными операциями сложения и умножения на число линейное пространство? Множество всех векторов на плоскости, модуль которых не превосходит 10
Образует ли заданное множество векторов с естественными операциями сложения и умножения на число линейное пространство? Множество всех векторов на плоскости, модуль которых не превосходит 10
Обсуждение
28.11.2018, 23:54
общий
Адресаты:
А каково Ваше мнение по заданному вопросу? 
Об авторе:
Facta loquuntur.
Facta loquuntur.
29.11.2018, 00:01
общий
29.11.2018, 00:15
да вот именно что, все аксиомы от и до перечитал по несколько раз и не знаю как в доказательстве задействован модуль вектора
29.11.2018, 00:14
общий
Адресаты:
Как Вы думаете, может ли сумма двух векторов, модуль каждого из которых не превосходит десяти, быть вектором, модуль которого больше десяти?
Об авторе:
Facta loquuntur.
Facta loquuntur.
29.11.2018, 00:21
общий
Адресаты:
Значит, сумма двух векторов может не принадлежать множеству этих векторов. Какой вывод можно сделать из этого?
Об авторе:
Facta loquuntur.
Facta loquuntur.
29.11.2018, 00:27
общий
Адресаты:
точно если два вектора пренадлежащие линейном пространство сложить, то должен быть в результате вектор тоже пренадлежащие векторному пространству. Значит делаем вывод данное множество векторов не образует линейное пространство
29.11.2018, 07:33
общий
это ответ
Здравствуйте, luizeana951@gmail.com!
В мини-форуме консультации мы с Вами установили,что заданное множество векторов с операциями сложения и умножения на число не образует линейного пространства, потому что сумма векторов может не принадлежать этому множеству.
Благодарю Вас за участие в обсуждении!
В мини-форуме консультации мы с Вами установили,что заданное множество векторов с операциями сложения и умножения на число не образует линейного пространства, потому что сумма векторов может не принадлежать этому множеству.
Благодарю Вас за участие в обсуждении!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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