If S= { v1, v2, v3......vn} lies in a vector space, S is linearly dependent if one vector in S is a linear combination of all the other vectors in S.(adsbygoogle = window.adsbygoogle || []).push({});

So I set up the below:

c1v1A + c2v2A +c3 v3A= 0

c1v1B + c2v2B +c3 v3B= 0

c1v1C + c2v2C +c3 v3C= 0

Since S lies in the vector space we know there are infinitely many solutions for (c1,c2,c3)

What am I missing here?

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# Homework Help: Linear dependency proof

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