- #1
Maths Lover
- 68
- 0
hello, the theorem says :
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 :)
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 :)