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Provide a counter example to prove why the following is not a vector space.

A= ((x,y) within R2 / x>=0)

I'm not sure why this is not a vector space. If I remember correctly, a vector space is commutative and associative?

thanks!

Answers
For a vector space if x within R^2 then its additive inverse has to be. What is the additive inverse of (1,1) lets say?
mathsissmart
14 January 2013
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