there is y in R^m. (Stiemke's theorem) Let {a} be given vectors in Rn. Prove that the

there is y in R^m.

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(Stiemke's theorem) Let {a} be given vectors in Rn. Prove that the system (I) m has a solution. = 0, x₂ > 0, i = 1,...,m, Xiai = has no solution if and only if the system (ai, y) ≤0, i = 1,..., m, with some inequality strict, (II) (Stiemke's theorem) Let {a} be given vectors in Rn. Prove that the system (I) m has a solution. = 0, x₂ > 0, i = 1,...,m, Xiai = has no solution if and only if the system (ai, y) ≤0, i = 1,..., m, with some inequality strict, (II)

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From Gordans theorem Exactly one of the following systems has a solution 1 y T ... View the full answer