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Math Help - Bilinear Forms and Linear Transformations

  1. #1
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    Jun 2010
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    Bilinear Forms and Linear Transformations

    Hi there,

    Let f : V X V -> F be a bilinear form, and the matrix that represents f in base B is invertible.
    I need to prove that for any linear transformation T : V -> F, there is a vector v0 in V, so that T(u) = f(u, v0) for any u in V.

    Thanks in advance!
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  2. #2
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    Aug 2010
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    Hi,
    Write this in terms of matrix, and the answer will be obvious
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