(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is an example of a subset of R^2 which is closed under vector addition and taking additive inverses which is not a subspace of R^2?

R, in this question, is the real numbers.

2. Relevant equations

I know that, for example, V={(0,0)} is a subset for R^2 that is also a subspace, but I can't figure out how something can be a subset and not a subspace.

3. The attempt at a solution

Does this have anything to do with scalar multiplication being closed on the vector space?

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# Homework Help: Vector Spaces, Subsets, and Subspaces

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