Given an m n matrix T over some field (such as the reals), show that (S,) is a matroid, where S is the set of columns of T and A if and only if the columns in A are linearly independent

Question: Given an m n matrix T over some field (such as the reals), show that (S,) is a matroid, where S is the set

Given an m × n matrix T over some field (such as the reals), show that (S,ℓ) is a matroid, where S is the set of columns of T and A ¬ℓ if and only if the columns in A are linearly independent.

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We need to show three things to prove that S is a matroid 1 S is finite Thats because S is the set o... View full answer

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