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

If v1_{1},.....,v_{k},v are linear independent, prove that v[tex]\notin[/tex]

[tex]\left\langle[/tex]v_{1},......,v_{k}[tex]\right\rangle[/tex]

2. Relevant equations

n/a

3. The attempt at a solution

i can prove it by contrapositive, but i'm curious how to proof it with

"If v1_{1},.....,v_{k},v are linear independent" in the beginning,

any idea? T_T

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# Homework Help: Linear independent

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