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General Lin. Alg. Span Question

  1. May 13, 2009 #1
    If a question asks "does v1, v2, v3 span R4"
    can i just say no, regardless of what v1 v2 v3 is
    because v1 v2 and v3 is just 3 dimensions while R4 needs 4 dimensions?
     
  2. jcsd
  3. May 13, 2009 #2

    fluidistic

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    Gold Member

    I'm almost sure you're right on this.
     
  4. May 13, 2009 #3
    Thanks!
     
  5. May 14, 2009 #4

    HallsofIvy

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    Science Advisor

    Yes. If a set of vectors spans a space, then some subset of it forms a basis for the space. Since no subset of 3 vectors can span a four dimensional set, this set cannot span R4.
     
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