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Span of Vectors?

  1. Sep 16, 2008 #1
    Not sure if this is "beyond" Calculus but the prereq for the class was Calc II so I thought i'd post here.

    1. The problem statement, all variables and given/known data
    Could a set of n vectors in Rm span all of Rm?

    2. Relevant equations

    None

    3. The attempt at a solution
    Hmm really stuck at this one. I think that it should be able to span since the only thing that matters is if you have a pivot point in each column? So even if you have say 3 vectors in R4 it could still span it, since you can have still have a pivot point in each of the column if the vectors allow it?

    Thanks for the help.
     
  2. jcsd
  3. Sep 16, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    n<m, right? Can one vector span R2? Why or why not?
     
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