1. Given a polytope P = {x E R: Ax 2 b} + 0. Prove that there exists x], ..., x such that P =
1. Given a polytope P = {x E R": Ax 2 b} + 0. Prove that there exists x], ..., x such that P = conv{x], ..., x }. (Suppose that you had no knowledge of Weyl's theory)
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