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Math Help - Linear transformation and isomorphism

  1. #1
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    Linear transformation, isomorphism and midpoint interpolation

    Hi,

    a little bit more complex exercise I need help on here. Doc-file is attached.

    The first exercise is about linear transformation and isomorphism. The second about some midpoint interpolation. No cheating is involved here. :-) I just don't know how to do this.


    Help is highly appreciated!
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Linear transformation, isomorphism and midpoint interpolation

    For the first part: T(1)=(1,1,\ldots,1) , T(\cos t)=(\cos \pi/16,\cos 3\pi/16,\ldots,\cos 15\pi/16) , ... , transposing we obtain C . Please, try the rest showing some work .
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