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Консультация № 64066
24.11.2006, 21:55
0.00 руб.
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Вечер добрый. Возникла достаточно интересная задача:
даны суммы строк матрицы и суммы столбцов этой матрицы, матрица размерностью N*N. Нужно найти эти элементы :)
Вот пример:
193 320 346 12
|| || || ||
267=a11+a12+a13+a14
157=a21+a22+a23+a24
188=a31+a32+a33+a34
259=a41+a42+a43+a44
даны суммы строк матрицы и суммы столбцов этой матрицы, матрица размерностью N*N. Нужно найти эти элементы :)
Вот пример:
193 320 346 12
|| || || ||
267=a11+a12+a13+a14
157=a21+a22+a23+a24
188=a31+a32+a33+a34
259=a41+a42+a43+a44
Обсуждение
Неизвестный
24.11.2006, 23:01
общий
это ответ
Здравствуйте, OmfgPanda!
Решений может быть бесконечное множество, так что я опишу cgjcj, нахождения одного из них...
дана матрица:
____C1__C2_...__Cn
B1_A11_A12_..._A1n
B2_A21_A22_..._A2n
... ... ...
Bn_An1_An2_..._Ann
где Ci и Bi данные величины, тогда:
A11 = B1;
Ai+1i = Ci - Aii;
Aii = Bi - Aii-1;
i=Z∩[1,n-2];
An-1n = Bn-1;
Ann-1 = Cn-1;
Ann = Bn - Cn-1;
Вот собственно и всё.
Будут вопросы задавайте...
Решений может быть бесконечное множество, так что я опишу cgjcj, нахождения одного из них...
дана матрица:
____C1__C2_...__Cn
B1_A11_A12_..._A1n
B2_A21_A22_..._A2n
... ... ...
Bn_An1_An2_..._Ann
где Ci и Bi данные величины, тогда:
A11 = B1;
Ai+1i = Ci - Aii;
Aii = Bi - Aii-1;
i=Z∩[1,n-2];
An-1n = Bn-1;
Ann-1 = Cn-1;
Ann = Bn - Cn-1;
Вот собственно и всё.
Будут вопросы задавайте...
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