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?
Re: Finding Orthogonal Complement
May i ask in what inner product space are you in. is it
?
Also, what vector space are you working in?
Re: Finding Orthogonal Complement
Quote:
Originally Posted by
jakncoke
May i ask in what inner product space are you in. is it
, 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