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Homework Help: Subspace of P3, linearly independence?

  1. Dec 14, 2011 #1
    1. The problem statement, all variables and given/known data
    Let U be the subspace of P3(ℝ) spanned by
    find a linearly independent subset F of E spanning U.

    2. Relevant equations

    3. The attempt at a solution


    a=-2b, b=c, d=0
    t(-2,1,1,0), t[itex]\in[/itex]ℝ

    How do I figure out which vectors are linearly independent??
  2. jcsd
  3. Dec 14, 2011 #2
    Just say that P^3 is isomorphic to R^4 and then convert those vectors into a corresponding matrix and row reduce and your pivotal columns will tell you what vectors are linearly independent.
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