For Corollary 1.16, (a) Fill in the induction for the proof, (b) Give an alternate proof that
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(a) Fill in the induction for the proof,
(b) Give an alternate proof that starts with the empty set and builds a sequence of linearly independent subsets of the given finite set until one appears with the same span as the given set.
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a We do induction on the number of vectors in the finite set S The base case is that S has no elemen...View the full answer
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