Question: Define (p(t), r(t)) = ad + 2be + of for some elements p(t) = at2 + bt + c and q(t) = dt2 +et+ f

Define (p(t), r(t)) = ad + 2be + of for some elements p(t) = at2 + bt + c and q(t) = dt2 +et+ f of P2 . Show that (p(t), r(t)) is an inner product on P2 . Let S = {2t2 - t, t2 + t + 1}. Find a basis for ST

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