Question: Let A be an m ? n matrix and c be an n-vector. Then Farkas?s lemma states that exactly one of the systems and 0

Let A be an m ? n matrix and c be an n-vector. Then Farkas?s lemma states that exactly one of the systems

A"y > 0

and

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is solvable, where x is an n-vector and y is an m-vector. Prove Farkas?s lemma.

A"y > 0

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