# Vector space proof?

1. Sep 29, 2009

### chlwlgns9107

vector space proof??

Let V = ((a1,a2): a1,a2 $$\in$$ R).
For (a1,a2), (b1,b2) $$\in$$ V
and c $$\in$$ R, define

(a1,a2) + (b1,b2) = (a1 + 2b1, a2 + 3b2) and c(a1,a2) = (ca1, ca2).

Is V a vector space over R with these operations? Justify your answer.

Does this set hold for all the eigth vector space properties?

2. Sep 29, 2009

### aPhilosopher

Re: vector space proof??

That's a good question. Let me know when you find out. :rofl:

More to the point, which ones have you tried?

3. Sep 29, 2009

### lanedance

Re: vector space proof??

list the properties of a vector space & test them - easy