 Quote by JonF
I would show that any S could be extended to be a basis for V, then show that a basis for V can be extended to be a basis for Rn.
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Sorry, but this makes no sense to me. The problem
was to show that any such S could be extended to a basis for V and there is no mention of R
n.
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Let B be a basis for S, what would the minimal subset of B look like that spans V?
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This also makes no sense. S is a set of vectors, not a vector space and so has
no "basis". Even if S were a subspace of V, any basis for V would have to be a
superset of a basis for S, not a subset.
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Ask your self a similar question to go from V to Rn
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Unnecessary- the problem says nothing about R
n.