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Finding orthonormal vectors? Watch

1. this can be deleted thanks
2. (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 C[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 C[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?
3. (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.
4. (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
5. yeh we have only really done vectors never on functions.

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