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2. Suppose that a polyhedral cone is in the form of C = {x R: Ax 0}. Prove or disprove the following statements by
2. Suppose that a polyhedral cone is in the form of C = {x R: Ax 0}. Prove or disprove the following statements by counterexamples: 1) C has no line. 2) An n-dimensional vector d is an extreme ray of C if and only if P = {x = R: Ax 0,1 x = 1}. : d 'n di i=1 is an extreme point of set
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