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Problem 11 (20 Points) Recall that a matroid M=(S,L) consists of i) a nonempty, finite set S; ii) a nonempty family of subsets L such

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Problem 11 (20 Points) Recall that a matroid M=(S,L) consists of i) a nonempty, finite set S; ii) a nonempty family of subsets L such that BL and AB implies AL; iii) if A,BL and A

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