- #1
mrroboto
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Homework Statement
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.
Homework 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.
The Attempt at a Solution
Does this have anything to do with scalar multiplication being closed on the vector space?