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