- #1
andytoh
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I can't seem to figure this one out:
Question: Let D be a nonempty subset of a vector space V over a field F. Let B be a finite linearly independet subset of span D having n elements. Prove there exists a subset D' of D also having n elements such that
span[(D-D') U B] = span(D).
Moreover, if D is linearly independent, so is (D-D') U B.
Can anyone help?
Question: Let D be a nonempty subset of a vector space V over a field F. Let B be a finite linearly independet subset of span D having n elements. Prove there exists a subset D' of D also having n elements such that
span[(D-D') U B] = span(D).
Moreover, if D is linearly independent, so is (D-D') U B.
Can anyone help?
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