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Show your work neatly and in order. Your explanations should be clear and to the oint. 1. Let W be the subspace spanned by S = {u₁, U2, U3}. Verify that S is an orthogonal set and then write y as the sum of a vector in W and a vector in W¹. y = 2 U₁ = 1 0 2 U₂ = 0 Uz = 1 1

Show your work neatly and in order. Your explanations should be clear and to the oint. 1. Let W be the subspace spanned by S = {u₁, U2, U3}. Verify that S is an orthogonal set and then write y as the sum of a vector in W and a vector in W¹. y = 2 U₁ = 1 0 2 U₂ = 0 Uz = 1 1

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Directions: Show your work neatly and in order. Your explanations should be clear and to the point. 1. Let W be the subspace spanned by S = {u₁, U2, U3}. Verify that S is an orthogonal set and then write y as the sum of a vector in W and a vector in W. y = 1 2 2 U₁ = 1 աշ 0 1 Uz 1 1
Transcribed Image Text:Directions: Show your work neatly and in order. Your explanations should be clear and to the point. 1. Let W be the subspace spanned by S = {u₁, U2, U3}. Verify that S is an orthogonal set and then write y as the sum of a vector in W and a vector in W. y = 1 2 2 U₁ = 1 աշ 0 1 Uz 1 1
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