Question: Let f(x) - -1, g(x) - 3x - 3 and h(x) - -5x- + 7x -9. Consider the inner product (p, q) -p(-1)q(-1) + p(0)q(0)

Let f(x) - -1, g(x) - 3x - 3 and h(x) - -5x- + 7x -9. Consider the inner product (p, q) -p(-1)q(-1) + p(0)q(0) + p(1)q(1) in the vector space P2 of polynomials of degree at most 2. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P2 spanned by the polynomials f (a), g(a) and h(at)

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