Difference between revisions of "2006 Canadian MO Problems/Problem 3"
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In a rectangular array of nonnegative real numbers with <math>m</math> rows andn <math>n</math> columns, each row and each column intersect in a positive element, then the sums of their elements are the same. Prove that <math>m=n</math>. | In a rectangular array of nonnegative real numbers with <math>m</math> rows andn <math>n</math> columns, each row and each column intersect in a positive element, then the sums of their elements are the same. Prove that <math>m=n</math>. | ||
==Solution== | ==Solution== | ||
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{{solution}} | {{solution}} | ||
| + | ==See also== | ||
*[[2006 Canadian MO]] | *[[2006 Canadian MO]] | ||
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| + | {{CanadaMO box|year=2006|num-b=1|num-a=2}} | ||
Revision as of 19:57, 7 February 2007
Problem
In a rectangular array of nonnegative real numbers with 
rows andn 
columns, each row and each 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 1 |
1 • 2 • 3 • 4 • 5 | Followed by Problem 2 |
