Find an orthonormal basis for $\displaystyle P_3$ with the inner product defined by <f,g> = $\displaystyle \int\limits_{-1}^{1}f(t)g(t) dt$
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Hello, Originally Posted by flaming Find an orthonormal basis for $\displaystyle P_3$ with the inner product defined by <f,g> = $\displaystyle \int\limits_{-1}^{1}f(t)g(t) dt$ The basis is 1, t, tē, t^3 if I understand what $\displaystyle P_3$ is. Use Gram-Schmidt orthogonalization method.
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