A+ Work

provide an example of a subset of R^2 that is a nontrival subspace of R^2. It must include a description of the subspace as a set. Must prove the subspace has a zero vector and closure under both vector addition and scalar multiplication. Needs to have an example of the subspace that is not the zero vector and an element of R^2 that is not in the subspace. 

The subspace cannot be just the zero vector nor can it be all of R^2. The subspace cannot be defined geometrically, rather it must be defined algebraically and justify the zero vector, vector addition, and scalar multiplication algebraically