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Matrix Representations

  1. Oct 30, 2005 #1
    Another problem I can't figure out how to start.

    Let S be the subspace of C[a,b] spanned by e^x , xe^x , (x^2)e^x . Let D be the differentiation operator of S. Find the matrix representing D with respect to [e^x, xe^x, (x^2)e^x ]
  2. jcsd
  3. Oct 30, 2005 #2


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    Well, what have you tried? Do you know how to find a matrix representing a linear transformation?
  4. Oct 30, 2005 #3

    Hint: Try using the differntial operator on each of your bases and then see if you can rewrite each of the results as a linear combination of the bases. After that you may wish to consider the relevance of the coordinate vectors of your results.
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