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Консультация № 192999
28.03.2018, 13:37
0.00 руб.
0
5
1
Здравствуйте! Прошу помощи в следующем вопросе:
Исследуйте на линейную зависимость систему векторов. В случае линейной зависимости, найдите какую-либо зависимость.
ā1=(1;2;-1;0), ā2=(-1;1;0;2), ā3=(-2;1;1;0), ā4=(-1;1;1;1).
Исследуйте на линейную зависимость систему векторов. В случае линейной зависимости, найдите какую-либо зависимость.
ā1=(1;2;-1;0), ā2=(-1;1;0;2), ā3=(-2;1;1;0), ā4=(-1;1;1;1).
Обсуждение
28.03.2018, 14:22
общий
Адресаты:
Какая помощь в выполнении этого задания Вам нужна?
Об авторе:
Facta loquuntur.
Facta loquuntur.
29.03.2018, 07:25
общий
29.03.2018, 07:38
Для того, чтобы выявить линейную зависимость векторов, нужно найти их смешанное произведение, затруднение в том, чтобы найти смешанное произведение вектора с 4 координатами
Гордиенко Андрей Владимирович
29.03.2018, 09:01
общий
это ответ
Здравствуйте, Smile!
Прочитав статью, которую я рекомендовал Вам в мини-форуме консультации, Вы увидите, что решение задачи можно свести к определению ранга матрицы, составленной из координат заданных векторов. Поскольку определитель этой матрицы не равен нулю, постольку ранг матрицы равен четырём, то есть равен числу заданных векторов. Поэтому система этих векторов линейно независима.
Прочитав статью, которую я рекомендовал Вам в мини-форуме консультации, Вы увидите, что решение задачи можно свести к определению ранга матрицы, составленной из координат заданных векторов. Поскольку определитель этой матрицы не равен нулю, постольку ранг матрицы равен четырём, то есть равен числу заданных векторов. Поэтому система этих векторов линейно независима.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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