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Soit \(M=\left( a_{i,j}\right) _{(i,j)\in \{1,...,n\}^{2}}\in M_{n}({\Rr}),\) montrer : \[\min\limits_{j}\max\limits_{i}a_{i,j}\geq \max\limits_{i}\min\limits_{j}a_{i,j}.\]
Soit \(M=\left( a_{i,j}\right) _{(i,j)\in \{1,...,n\}^{2}}\in M_{n}({\Rr}),\) montrer : \[\min\limits_{j}\max\limits_{i}a_{i,j}\geq \max\limits_{i}\min\limits_{j}a_{i,j}.\]