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1. Let u = [1 0 1]",0₁ = [1 1+ T -i]¹, 1+i 1- - V₂ = [2i 1 0], and v3 V3 = [2 −1 1]². Let = V1, V2, V3. Show that is a basis for C³ and compute the coordinate B vector [u].

1. Let u = [1 0 1]",0₁ = [1 1+ T -i]¹, 1+i 1- - V₂ = [2i 1 0], and v3 V3 = [2 −1 1]². Let = V1, V2, V3. Show that is a basis for C³ and compute the coordinate B vector [u].

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
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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T T 1. Let u = [1 0 1]", m = [1 1+i 1-i], v₂ = [2i 1 0], and v₁ = [2 -1 T V2 V3 -¹ 1]². Let = V1, V2, V3. Show that is a basis for C³ and compute the coordinate 3 vector [u]3.
Transcribed Image Text:T T 1. Let u = [1 0 1]", m = [1 1+i 1-i], v₂ = [2i 1 0], and v₁ = [2 -1 T V2 V3 -¹ 1]². Let = V1, V2, V3. Show that is a basis for C³ and compute the coordinate 3 vector [u]3.
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