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Консультация № 70395
11.01.2007, 00:14
0.00 руб.
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Уважаемые эксперты, подскажите с решением одной задачи:
Найти собственные значения и единичные собственные векторы, составляющие острый угол с осью ОХ, линейного преобразования с матрицей:
| 1 0 |
| 6 5 |
Заранее примного благодарен!!!
Найти собственные значения и единичные собственные векторы, составляющие острый угол с осью ОХ, линейного преобразования с матрицей:
| 1 0 |
| 6 5 |
Заранее примного благодарен!!!
Обсуждение
Неизвестный
11.01.2007, 09:10
общий
это ответ
Здравствуйте, Blew!
После элементарных преобразований матрицы получим, что собственными значениями являются числа 1 и 5, а соответствующими им собственными векторами
| 2/sqrt(13) |
| -3/sqrt(13) |
и
| 0 |
| 1 |
соответственно.
Вектор (0,1) перпендикулярен ОХ, остается проверить второй вектор.
Удачи!
После элементарных преобразований матрицы получим, что собственными значениями являются числа 1 и 5, а соответствующими им собственными векторами
| 2/sqrt(13) |
| -3/sqrt(13) |
и
| 0 |
| 1 |
соответственно.
Вектор (0,1) перпендикулярен ОХ, остается проверить второй вектор.
Удачи!
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