(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If a set is linear independent, proove that every of its non empty subset is linear independent.

i'm sorry, but i'm not sure is my sentence correct or not,

2. Relevant equations

n/a

3. The attempt at a solution

let {v_{1},v_{2},v_{3},......,v_{n}} be linear independent set.

so a_{1}v_{1}+a_{2}v_{2}+a_{3}v_{3}+,........,+a_{n}v_{n}=0, and a_{i}=0 , i= 1,2,3,...,n

let mv_{1}+nv_{2}=0, i can't even prove m=n=0, so help me start proving that first T_T

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# Homework Help: Linear Independence

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