- #1

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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 :)