Let S = {a,b,c}be a subset of a vector space V.Consider a new set M = {W₁, W₂, W3}, such thatW₁ = a + b + cW₂ = a - b + cW3 = a-b-cProve that span(S) = span(M)

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Answered: Let S = {a,b,c}be a subset of a vector…

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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Let S = {a,b,c}be a subset of a vector space V. Consider a new set M = {W₁, W₂, W3}, such that W₁ = a + b + c W₂ = a - b + c W3 = a-b-c Prove that span(S) = span(M)