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Math Help - Finding Orthogonal Complement

  1. #1
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    Finding Orthogonal Complement

    Hi! So I'm not totally sure what to do here...

    so if p(x)=x and W = span{p} what is W ?

    I thought I would use {1,x} as a basis and then
    u1 = 1
    u2 = 1 - proju1(v2)

    so then u2 = 1 - (<1,x>/<1,1>)*1

    That didn't really seem to come out right though. can anyone help me?
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  2. #2
    Senior Member jakncoke's Avatar
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    Re: Finding Orthogonal Complement

    May i ask in what inner product space are you in. is it  <f(x), g(x)> = \int_0^1 f(x)g(x) dx ?

    Also, what vector space are you working in?
    Last edited by jakncoke; November 25th 2012 at 08:51 PM.
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  3. #3
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    Re: Finding Orthogonal Complement

    Quote Originally Posted by jakncoke View Post
    May i ask in what inner product space are you in. is it  <f(x), g(x)> = \int_0^1 f(x)g(x) dx ?

    Also, what vector space are you working in?
    Yes, only the limits on the integral are -1 to 1.
    An earlier part of the question says it's in P2
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