hello, the theorem says :(adsbygoogle = window.adsbygoogle || []).push({});

let V be a vector space over the field K , let { v1 , v2 , ... , vm } be a basis of V over K

let {w1 , w2 , ... , wn} be elements of V and assume that n is bigger than m , then

{ w1 , w2 , ... , wn } are linearly dependent

the proof is written here but I didn't understand it well , I hope that you give me a simple proof :)

**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!

# What is the proof of this theorem in linear algebra ?

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