Question: Let { u1 (a) = -12, u2 (x) = 12x, u3 (x) = -12x2} be a basis for a subspace of P2. Use the Gram-

Let { u1 (a) = -12, u2 (x) = 12x, u3 (x) = -12x2} be a basis for a subspace of P2. Use the Gram- Schmidt process to find an orthogonal basis under the integration inner product (f, g) = / f(x)g(x) da on o C[0, 1]. Orthogonal basis: {v1 (x) = -12, v2 (a) = 12x + a, v3 (x) = -12x2 + ba + c}
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