# orthonormal basis question

• Nov 24th 2008, 07:35 PM
flaming
orthonormal basis question
Find an orthonormal basis for $P_3$ with the inner product defined by <f,g> = $\int\limits_{-1}^{1}f(t)g(t) dt$
• Nov 24th 2008, 11:28 PM
Moo
Hello,
Quote:

Originally Posted by flaming
Find an orthonormal basis for $P_3$ with the inner product defined by <f,g> = $\int\limits_{-1}^{1}f(t)g(t) dt$

The basis is 1, t, t², t^3 if I understand what $P_3$ is.

Use Gram-Schmidt orthogonalization method.