- #1
maggie56
- 30
- 0
Homework Statement
Hi, i am applying the gram-schmidt procedure to a basis of {1,2x,3x^2} with inner product <p,q> = [tex]\int p(x)q(x) [/tex] from 0 to 1.
i am unsure what to do with the inner product
Homework Equations
The Attempt at a Solution
I have followed the procedure i have for converting this basis to an orthonormal basis, where v1=1, v2=2x, v3=3x^2 are the initial vectors
i let b1=v1=1
so b2 = v2 + [tex]\alpha[/tex] v1 = 2x + [tex]\alpha[/tex]
then <b1,b2> = 0 = <1, 2x + [tex]\alpha[/tex] >
which gives me [tex]\alpha[/tex] = -2x but then b2=0
I get a result of 0 for b3 also, and think i must have something wrong because i haven't used the inner product <p,q> = [tex]\int p(x)q(x) [/tex] from 0 to 1. but can't see what to do with this.
thanks