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Math Help - How does one find a basis for a set of polynomials?

  1. #1
    Senior Member
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    How does one find a basis for a set of polynomials?

    For example determine the basis for span S={ t-2,2t-1,4t-2,t^2-t+1,t^2+2t+1}

    how would I do it if I do/do not want the basis to be a subset of S?

    I know that if I want it to be a subset then I put the matrix \left[ \begin{array}{cccc}<br />
 0 & 0 & 1 & 1  \\<br />
 1 & 2 & -1 & 2  \\<br />
  -1 & -2 & 1 & 1<br />
 \end{array} \right] into reduced row echelon forum which gives \left[ \begin{array}{cccc} 1 & 2 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1  \end{array} \right]

    and I don't know where to go from here.
    Last edited by mr fantastic; March 23rd 2010 at 07:12 PM.
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