given S is a set of vectors S= (v1,v2,..vn), prove that S is linearly dependent if and only if one of the vectors in S is a linear combination of all the other vectors in S?(adsbygoogle = window.adsbygoogle || []).push({});

Can someone point me in the right direction of how to start this proof? I am completely lost.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear dependence proof

**Physics Forums | Science Articles, Homework Help, Discussion**