Let S= { v1, v2, v3......vn} be a set of vectors in a vector space V and let W be a subspace of V containing S(adsbygoogle = window.adsbygoogle || []).push({});

show W contains span S.

Span is the smallest subspace (w) of vector space V that contains vectors in S

if a and b are two vectors in subspace C, then they are linear combinations of S

C is closed under addition and scalar multiples. Thus C contains all linear combos of S

Thus C contains W. So W contains S.

Can you advise if this is logical?

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# Homework Help: Subspaces question

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