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Math Help - Bases in Linear Algebra - Midterm Tomorrow!

  1. #1
    Junior Member
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    Bases in Linear Algebra - Midterm Tomorrow!

    Hey quick question thats been bugging me. Suppose I have a vector space V and a basis B that describes it. B is a subspace of V right?

    I figure it is because for B to be a basis it must be a span and be linearly independent. Both spans and linear independent sets are described as subsets in my book. However, bases aren't. Any ideas?
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  2. #2
    MHF Contributor
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    Let's say we're talking about a vector space. The basis is a set of linear independent vectors, that through linear combinations span(V). I think the basis itself though is just this set of vectors, not the coefficients as well. For this reason I believe the basis is a subset of vector space V, not a subspace.
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