Question: Let { ul (x) = 3, u2 (x) = -12x, u3 (x) = 8x2} be a basis for a subspace of P2. Use the Gram-Schmidt

Let { ul (x) = 3, u2 (x) = -12x, u3 (x) = 8x2} be a basis for a subspace of P2. Use the Gram-Schmidt process to find an orthogonal basis under the integration inner product (f, 9) = f(x)g(x) da on C[0, 1]. Orthogonal basis: V1 (a) = 3, v2 (x) = -12x + a, v3 (x) = 8x2 + ba + c a = 3 V b = -12x+6 C = Ex: 1.23 4

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