# Thread: V is finite dimensional vector space iff every L.I. Subset S is finite.

1. ## V is finite dimensional vector space iff every L.I. Subset S is finite.

how to prove this argument?

2. Originally Posted by szpengchao
how to prove this argument?
How is a finite dimensional vector space defined?
In fact, how is dimensiol of a vector space defined?
Answer those questions and you will an this question.