Vector Space Proof: Is V a Vector Space?

[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?

 

[aPhilosopher]

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

More to the point, which ones have you tried?

 

[lanedance]

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