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Question: i will rate asap as the answer seems correct...

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Let P-{re Rn : Ax 〈 b} be a full-dimensional polyhedron in Rn and p a point in P. Let Ax 〈 b, be the subset of inequalities from Ax < b that hold at equality at p. This means that Ap b and aTp 〈 bi ifai T Is a row of A that is not a row of A. Prove that if P is a vertex of P, then rank(A) = n.

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