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Консультация № 190104
20.11.2016, 22:57
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Здравствуйте! Прошу помощи в решении следующей задачи:
Заранее спасибо!
Заранее спасибо!
Обсуждение
21.11.2016, 09:34
общий
это ответ
Здравствуйте, ms.nastasya2512!
Матрица
невырожденная, потому что её определитель 
С помощью линейных преобразований строк матрицы 
приведём её к ступенчатому виду:
Ранг последней матрицы равен числу её ненулевых строк, то есть равен трём. Поскольку эта матрица получена из матрицы элементарными преобразованиями строк, которые не изменяют ранг матрицы, постольку 
Тогда по известной теореме 
Матрица
невырожденная, потому что её определитель С помощью линейных преобразований строк матрицы приведём её к ступенчатому виду:Ранг последней матрицы равен числу её ненулевых строк, то есть равен трём. Поскольку эта матрица получена из матрицы
элементарными преобразованиями строк, которые не изменяют ранг матрицы, постольку Тогда по известной теореме
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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