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Math Help - Gram - Schmidt Orthogonalization

  1. #1
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    Gram - Schmidt Orthogonalization

    I have been trying to do this question and I keep getting v_3 different to what my lecturer has in the notes. Can anyone please find v_1, v_2 and v_3 for me?!

    The question is:

    Apply the Gram-Schmidt orthogonalization procedure to the R-basis \{{1, x, x^2, x^3}\} to obtain an orthonormal basis for P_3(R) where the inner product is defined by

    \int_{-1}^{1} (1-x^2)f(x)g(x) \, dx

    The equations used in the process are here


    I dont need the working out, I just want to know the final answers for v_1, v_2 and v_3. Thank you!
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  2. #2
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    Quote Originally Posted by Silver View Post
    I have been trying to do this question and I keep getting v_3 different to what my lecturer has in the notes. Can anyone please find v_1, v_2 and v_3 for me?!

    The question is:



    The equations used in the process are here


    I dont need the working out, I just want to know the final answers for v_1, v_2 and v_3. Thank you!


    Instead of doing all the lengthy GM process tell us what's what you get and what's what your lecturer gets: this stuff is fairly simple to check, because the result must be orthonormal...
    That way we can decide who's wrong ,where and why.

    Tonio
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  3. #3
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    I actually got it now, sorry about that :P
    I didnt cancel something at some point and it gave me totally different answer! I just had to be more careful! Thank you anyways!
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