17. Prove that if S = {v,,Vz, V3} is a linearly dependent set of vec- tors in a vector space V, and v, is any vector in V that is not in S, then {v,, V2, V3, V4} is also linearly dependent. hp

Elementary Linear Algebra (MindTap Course List)
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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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17.
Prove that if S = {v, V2, V3} is a linearly dependent set of vec-
tors in a vector space V, and v, is any vector in V that is not in
S, then {v, Vz, V3, Va} is also linearly dependent.
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logi
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(intel
CORE 17
8th Gen
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Transcribed Image Text:17. Prove that if S = {v, V2, V3} is a linearly dependent set of vec- tors in a vector space V, and v, is any vector in V that is not in S, then {v, Vz, V3, Va} is also linearly dependent. %3D hp logi Pg Up (intel CORE 17 8th Gen Enter
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