http://i45.tinypic.com/2mo10me.png

The inner product here is defined by the integration of p(x)q(x) from 0 to 1.

I sort of understand why this is true, but I can't prove it (so I guess I don't fully understand it).

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- Dec 3rd 2009, 02:56 PMdavismjFinding an Orthonormal Basis
http://i45.tinypic.com/2mo10me.png

The inner product here is defined by the integration of p(x)q(x) from 0 to 1.

I sort of understand why this is true, but I can't prove it (so I guess I don't fully understand it). - Dec 3rd 2009, 04:04 PMtonio
- Dec 3rd 2009, 04:08 PMdavismj
I know how to do a Gram-Schmidt procedure. What I don't understand is how to show that the matrix for the differentiation operator on the orthonormal basis (1,sqrt(3)(2x-1),sqrt(5)(6x^2-6x+1)) is upper triangular...

- Dec 3rd 2009, 07:12 PMtonio