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
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
