3 10 marks let v be a vector space and assume b v1 v is a set of vecto
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3. (10 marks) Let V be a vector space, and assume B = {v1, ..., v„} is a set of vectorsin V. Show that the set%3D S = {v –
vn} U{v2 – V1, V3 – V2, ..., Vn – Vn-1} is linearly dependent. You may do a formal proof by induction, or you may show this directly for an arbitrary n.