anonymous
  • anonymous
prove that if the vectors v1,...vn span the vector space V, and T: V into W is an onto linear function. then the vecters T(v1),...,T(vn) span the vecter space W.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i know by theorem, if T is onto then the vectors T(v1),...,T(vn) are Linearly independent. But I first need to prove that v1,...,vn is a basis of V in order to apply this theorem. I already know by assumption that v1,..,vn spans V, so I just need to prove that v1,..., vn is Linearly Independent in V... and that is were I am stumbling.

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