Difference between revisions of "2006 Canadian MO Problems/Problem 3"
m (→See also: ................................................ need to learn to count) |
(→Problem) |
||
Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
− | In a rectangular array of nonnegative real numbers with <math>m</math> rows andn <math>n</math> columns, | + | In a rectangular array of nonnegative real numbers with <math>m</math> rows andn <math>n</math> columns, if a row and a column intersect in a positive element, then the sums of their elements are the same. Prove that <math>m=n</math>. |
+ | |||
==Solution== | ==Solution== | ||
{{solution}} | {{solution}} |
Revision as of 11:14, 15 August 2008
Problem
In a rectangular array of nonnegative real numbers with rows andn columns, if a row and a column intersect in a positive element, then the sums of their elements are the same. Prove that .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
2006 Canadian MO (Problems) | ||
Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 | Followed by Problem 4 |