Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 44E: Prove that in a given vector space V, the additive inverse of a vector is unique.
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Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.
Transcribed Image Text:Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.
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