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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. %3D hp logi Pg Up (intel CORE 17 8th Gen Enter
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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