Consider the vector space V coefficients. Define f: V x V → R, 2. Consider W = [p(t)q(t) dt. -1 1. Show that (V, f) is a euclidean vector space and determine the matrix belonging to f with respect to the base E = {1, x, x²}. {p E Vp' (0) = 0}. Calculate W = R₂[x] of polynomials of degree less than or equal to 2 with real f(p, q) =

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