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Prove that if {Vi, V2, v3} is linearly independent, then so too is the set {u, u2, u3 where u = V - V2, uz = V + V1, and u; = V

Prove that if {Vi, V2, v3} is linearly independent, then so too is the set {u, u2, u3 where u = V - V2, uz = V + V1, and u; = V

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
Section4.4: Spanning Sets And Linear Independence
Problem 57E: For which values of t is each set linearly independent? a S={(t,1,1),(1,t,1),(1,1,t)} b...
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Prove that if (v. V2, v3} is linearly independent, then so too is the set {u, u2, u3} where u, = v1 - V2, u2 = V + V3, and u; = V2 - V3.
Transcribed Image Text:Prove that if (v. V2, v3} is linearly independent, then so too is the set {u, u2, u3} where u, = v1 - V2, u2 = V + V3, and u; = V2 - V3.
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