Question 8(10 marks,C4)Let V be a vector space and let vi,v2,v3 be vectors in V.Define the set S and S’byS={V1,V2,V3},S’={V1+V2,V1-2V2,V1+V2+V3}.(a)Show that span (S)=span (S).[6](b)Show that the set S is linearly independent if and only if the set S’is linearly independent.[4]
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