Предмет: Математика, автор: Аноним

В таблица n*m расставлены натуральные числа. Сумма чисел в каждой строке и каждом столбце равны. Докажите, что n=m.

Ответы

Автор ответа: ДедаДима
0
вроде давал ответ
Сумму всех чисел возьмем равной Z
сумма каждого столбца =Z/m 
сумма каждой строчки = Z/n
строчки и столбцы по сумме равны
Z/m=Z/n
Упрощаем в итоге m=n
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