Thread: Proof of dependent set

I am trying to prove if k greater than n then prove that k vectors in R of n must form a linearly dependent set. So can I conclude that I have k linearly inpendent vectors.

Originally Posted by chadlyter

I am trying to prove if k greater than n then prove that k vectors in R of n must form a linearly dependent set. So can I conclude that I have k linearly inpendent vectors.

No since there are no sets of linear independent elements of R^n with
more than n elements.

RonL