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Spanning and subsets

  1. Sep 11, 2007 #1
    * If p1,p2,……pm span Pn, write down a mathematical relationship between m and n.

    I know that Pn means the space of all polynomials of degree at most n, and this is an (n+1) dimension space, but im not sure what kind of mathematical relationship the question is looking for :s

    Any help is greatly appreciated!!
  2. jcsd
  3. Sep 11, 2007 #2


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    Science Advisor

    If Pn has dimension n+1, what must be true of any set that spans it? (In particular how many vectors are there in any basis?)
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