Question: Say that a vector space V has property G if no finite subset of V generates V. Say that a vector space has property

Say that a vector space V has property G if no finite

Say that a vector space V has property G if no finite subset of V generates V. Say that a vector space has property I if V contains an infinite linearly independent set. Prove that the two properties are equivalent; that is, show that V has property G if and only if it has property I. [Grading comment: any solution that makes the

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