My teacher gave a problem to show that p = 1 + x and q = 1 - x are orthogonal, but he says let <p,q> = a0b0 + a1b1 be the inner product. How do I do this with out integrating? I'm a little confused.
What are I would assume you have something like and If that's so, then the inner product will definitely give you orthogonality of those two polynomials. Do you see how?