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Консультация № 184941
24.12.2011, 14:26
58.37 руб.
24.12.2011, 18:32
0
2
2
Здравствуйте! Прошу помощи в следующем вопросе:
Даны два линейных преобразования:
Средствами матричного исчисления найти преобразование,выражающее z1,z2,z3 через x1,x2,x3.
Даны два линейных преобразования:
Средствами матричного исчисления найти преобразование,выражающее z1,z2,z3 через x1,x2,x3.
Обсуждение
24.12.2011, 22:11
общий
это ответ
Здравствуйте, Максим!
Если Y = AX и Z = BY, то Z = BAX = CX, где C = BA. В данном случае
и искомое преобразование будет задано матрицей
то есть
Если Y = AX и Z = BY, то Z = BAX = CX, где C = BA. В данном случае
и искомое преобразование будет задано матрицей
то есть
24.12.2011, 22:16
общий
это ответ
Здравствуйте, Максим!
Первое преобразование имеет матрицу А:
7 0 4
0 4 -9
3 1 0
Первое преобразование имеет матрицу В:
0 1 -6
3 0 7
1 1 -1
Последовательное выполнение (произведение) преобразований имеет матрицу В*А:
-18 -2 -9
42 7 12
4 3 -5
Искомое преобразование:
z1=-18x1-2x2-9x3
z2=42x1+7x2+12x3
z3=4x1+3x2-5x3
Первое преобразование имеет матрицу А:
7 0 4
0 4 -9
3 1 0
Первое преобразование имеет матрицу В:
0 1 -6
3 0 7
1 1 -1
Последовательное выполнение (произведение) преобразований имеет матрицу В*А:
-18 -2 -9
42 7 12
4 3 -5
Искомое преобразование:
z1=-18x1-2x2-9x3
z2=42x1+7x2+12x3
z3=4x1+3x2-5x3
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