Let B = {V1, V2, V3, V4} be a basis of Rª given by the following vectors: 2 2 ·¤ , V3 0 2 Use the Gram-Schmidt process to convert B into an orthogonal basis B = {W₁, W2, W3, W₁}- V1 2 Enter the vector W₁ in the form [C₁, C₂, C3, C4]: Enter the vector W₂ in the form [C1, C2, C3, C4]: Enter the vector W3 in the form [C₁, C2, C3, C4]: Enter the vector w in the form [C₁, C2, C3, C4]: V₂ 2 2 VA

Let B = {V1, V2, V3, V4} be a basis of Rª given by the following vectors: 2 2 ·¤ , V3 0 2 Use the Gram-Schmidt process to convert B into an orthogonal basis B = {W₁, W2, W3, W₁}- V1 2 Enter the vector W₁ in the form [C₁, C₂, C3, C4]: Enter the vector W₂ in the form [C1, C2, C3, C4]: Enter the vector W3 in the form [C₁, C2, C3, C4]: Enter the vector w in the form [C₁, C2, C3, C4]: V₂ 2 2 VA

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...

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