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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

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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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Let {u₁ (x) = 12, u₂(x) = − 18x, uz (x) = 8x²} be a basis for a subspace of P2. Use the Gram-Schmidt 1 process to find an orthogonal basis under the integration inner product (f, 9) = " f(a)g(2) 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
Transcribed Image Text:Let {u₁ (x) = 12, u₂(x) = − 18x, uz (x) = 8x²} be a basis for a subspace of P2. Use the Gram-Schmidt 1 process to find an orthogonal basis under the integration inner product (f, 9) = " f(a)g(2) 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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