- #1
jasoqueso
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So the question is...
Let v1, v2,...,,vn be linearly independent vectors in a vector space V. Show that v2,...,vn cannot span V.
I honestly have found myself completely lost lately and I suck at writing proofs.
So this is what I see,
v1, v2,..., vn is linearly independent iff c1v1+c2v2+ ... + cnvn = 0 and c1=c2=...=cn= 0
however I don't see why taking away v1 would make it not span V anymore.
Let v1, v2,...,,vn be linearly independent vectors in a vector space V. Show that v2,...,vn cannot span V.
I honestly have found myself completely lost lately and I suck at writing proofs.
So this is what I see,
v1, v2,..., vn is linearly independent iff c1v1+c2v2+ ... + cnvn = 0 and c1=c2=...=cn= 0
however I don't see why taking away v1 would make it not span V anymore.