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Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 -2 Use the Gram-Schmidt process to convert B into an orthogonal basis B' = {W₁, W2, W3, W4}. 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 w4 in the form [C₁, C2, C3, C4]:

Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 -2 Use the Gram-Schmidt process to convert B into an orthogonal basis B' = {W₁, W2, W3, W4}. 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 w4 in the form [C₁, C2, C3, C4]:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 40EQ
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Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 0 -2 V1 3 V₂ = V3 = V4 = -2 -1 Use the Gram-Schmidt process to convert B into an orthogonal basis B' = {W1, W2, W3, W4}. 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 w4 in the form [C₁, C2, C3, C4]: N N -2
Transcribed Image Text:Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 0 -2 V1 3 V₂ = V3 = V4 = -2 -1 Use the Gram-Schmidt process to convert B into an orthogonal basis B' = {W1, W2, W3, W4}. 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 w4 in the form [C₁, C2, C3, C4]: N N -2
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