Let {u₁(x) = 12, u₂(x) = − 18x, uz (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 (ƒ,g) = √" f(a)g(x) da on C[0, 1]. orthogonal basis: {v₁ (x) = 12, v₂ (x) = -18x + a, v3(x) = 8x²+bx+c} a = Ex: 1.23 Ex: 1.23 c = Ex: 1.23

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Q: Let {u1 (x) = 12, u2 (x) = 12x, u3 (x) = 8x² } be a basis for a subspace of P2. Use the Gram-Schmidt…

A: Orthogonal basis, therefore inner product will be zero for distinct two elements.

Q: = = 12, u₂ (x) = 18x, uz (x) = − 8x²} be a basis for a subspace of P₂. Use the Gram-Schmidt Let {u₁…

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