Right i have a rather large project to do and its split into 12 parts. This is the first part and im posting my answer to it. I one of those 'using the result of the previous part' projects so i figure i'd better get the first part right! Could someone please tell me if this is done right?
Let P denote the vector space of real polynomials and the subspace polynomials of degree . We define an inner product on P by
1. Apply the Gram-Schmidt procedure to to construct an orthogonal basis of . Normalize the basis vectors such that they take the value 1 when x = 1. (Im having a bit of trouble with the normalization bit...)
My solution so far... (shortened a bit cos its a lot to type!)
and is the basis i am trying to find.
If thats right how do you normalize it?