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Консультация № 189336
10.05.2016, 23:06
0.00 руб.
10.05.2016, 23:29
0
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Как изменится матрица оператора, если третий базисный вектор заменить на разность третьего и четвёртого векторов?
Как изменится матрица оператора, если третий базисный вектор заменить на разность третьего и четвёртого векторов?
Обсуждение
11.05.2016, 12:32
общий
Адресаты:
Если 
- матрица оператора в старом базисе 
то матрица 
этого оператора в новом базисе 
имеет вид 
где 
- линейное преобразование, переводящее базис 
в базис 
В рассматриваемом случае, например, в четырёхмерном линейном пространстве имеем
Остаётся выполнить умножения матриц, зная матрицу
- матрица оператора в старом базисе то матрица этого оператора в новом базисе имеет вид где - линейное преобразование, переводящее базис в базис В рассматриваемом случае, например, в четырёхмерном линейном пространстве имеем
Остаётся выполнить умножения матриц, зная матрицу
Об авторе:
Facta loquuntur.
Facta loquuntur.
11.05.2016, 13:59
общий
это ответ
Здравствуйте, Александр!
Если - матрица оператора в старом базисе то матрица этого оператора в новом базисе имеет вид где - линейное преобразование, переводящее базис в базис
В рассматриваемом случае, например, в четырёхмерном линейном пространстве имеем
Остаётся выполнить умножения матриц, зная матрицу
С уважением.
Если
- матрица оператора в старом базисе то матрица этого оператора в новом базисе имеет вид где - линейное преобразование, переводящее базис в базис В рассматриваемом случае, например, в четырёхмерном линейном пространстве имеем
Остаётся выполнить умножения матриц, зная матрицу
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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