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    this can be deleted thanks
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    (Original post by scotsman1)
    Hi,

    We have recently been doing the gram-schmidt process and I have been doing ok with it. The problem I have is that I am trying to do a past exam question and I am struggling.


    Within CL^2[1,-1], use the gram-schmidt process on the functions 1,x,x^2,x^3 and x^4 to obtain a set of orthonormal vectors. Remeber that even and odd functions are always orthogonal in CL^2[1,-1].

    I don't really get how to do this?
    For the resulting vectors from gram-schmidt to be orthonormal, the original vectors have to be of unit length. Does that help?
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    (Original post by Serano)
    For the resulting vectors from gram-schmidt to be orthonormal, the original vectors have to be of unit length. Does that help?
    No. The Gram-Schmidt process, properly executed, will always turn a linearly independent set into an orthonormal set.
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    (Original post by Zhen Lin)
    No. The Gram-Schmidt process, properly executed, will always turn a linearly independent set into an orthonormal set.
    Oops yep, I'm getting mixed up between Legendre and Chebyshev polynomials again
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    yeh we have only really done vectors never on functions.
 
 
 
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