I am trying to grasp the idea of vector spaces in my linear algebra textbook. The only thing I got out of it was that a vector space is set of elements or vectors (elements and vectors seems to be used interchangably which causes confusion) that must satisfies 10 rules that involves matrix addition and scalar multiplication in order to be called a vector space.

This concept is a whole lot more abstract compared to what was covered before: which was on system of linear equations and echileon forms.

Question: I still do not see the big picture or the whole point of learning vector spaces. I am trying to find the motivation to appreciate vector spaces. It has been 2 days and it is still an abstract concept to understand fully. Am I approaching vector spaces the wrong way?

**Edited by warnexus, 27 September 2013 - 08:01 AM.**