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Консультация № 195065
26.03.2019, 01:09
0.00 руб.
27.03.2019, 11:52
1
4
1
Помогите пожалуйста Срочно
3) Доказать, что если отношения [$961$]1 и [$961$]2 антисимметричны, то антисимметричны также следующие отношения: [$961$]1[$8745$][$961$]2 и [$961$]1-1.
4) Является ли биекцией отображение множества свободных векторов во множество действительных чисел [$966$]: a[$8594$]|a|?
3) Доказать, что если отношения [$961$]1 и [$961$]2 антисимметричны, то антисимметричны также следующие отношения: [$961$]1[$8745$][$961$]2 и [$961$]1-1.
4) Является ли биекцией отображение множества свободных векторов во множество действительных чисел [$966$]: a[$8594$]|a|?
Прикрепленные файлы:
Обсуждение
27.03.2019, 09:22
общий
это ответ
Здравствуйте, Q7MX-23K1-BSD2!
4) Заданное отображение не является биекцией, потому что оно не является инъекцией. Возьмём, например, векторы p={2, 0, 0}, q={0, 2, 0}, r={0, 0, 2}. При этом |p|=|q|=|r|=2, то есть [$966$](p)=[$966$](q)=[$966$](r)=2, разным прообразам соответствует один и тот же образ, что противоречит определению инъекции.
4) Заданное отображение не является биекцией, потому что оно не является инъекцией. Возьмём, например, векторы p={2, 0, 0}, q={0, 2, 0}, r={0, 0, 2}. При этом |p|=|q|=|r|=2, то есть [$966$](p)=[$966$](q)=[$966$](r)=2, разным прообразам соответствует один и тот же образ, что противоречит определению инъекции.
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.03.2019, 09:24
общий
Адресаты:
3) Доказательство первого утверждения показано в прикреплённом файле. Вам нужно изменить обозначения P, S на [$961$]1, [$961$]2 соответственно.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.03.2019, 09:25
общий
Предлагаю дополнить сообщение, открывающее консультацию, текстом задания, который я набрал ниже.
3) Доказать, что если отношения [$961$]1 и [$961$]2 антисимметричны, то антисимметричны также следующие отношения: [$961$]1[$8745$][$961$]2 и [$961$]1-1.
4) Является ли биекцией отображение множества свободных векторов во множество действительных чисел [$966$]: a[$8594$]|a|?
3) Доказать, что если отношения [$961$]1 и [$961$]2 антисимметричны, то антисимметричны также следующие отношения: [$961$]1[$8745$][$961$]2 и [$961$]1-1.
4) Является ли биекцией отображение множества свободных векторов во множество действительных чисел [$966$]: a[$8594$]|a|?
Об авторе:
Facta loquuntur.
Facta loquuntur.
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