9) Suppose {v,V,v, } is a set of linearly independent vectors of a vector space V. a) Is {v,v +v, v, +v, +v,} linearly independent? b) Is {v, +v, v +v,,-v,} linearly independent?

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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9) Suppose {v,v,,v,} is a set of linearly independent vectors of a vector space V.
a) Is {v,v +v, +v, + v,} linearly independent?
b) Is {v, +v, v, +v,, -v,} linearly independent?
Transcribed Image Text:9) Suppose {v,v,,v,} is a set of linearly independent vectors of a vector space V. a) Is {v,v +v, +v, + v,} linearly independent? b) Is {v, +v, v, +v,, -v,} linearly independent?
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