Let A be an m n matrix and c be a nonzero vector in n. Then
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Either I Ax ≤ 0 and cx > 0 for some x ∈ Rn+
or II ATy ≥ c for some y ∈ Rm+.
Still other variants can be derived by creative reformulations of the alternative systems.
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The inequality system y c has a nonnegative solution ...View the full answer
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