Help... how would I do this. The two different matrices confuse me. Please step by step.

3. Let W be a subset of the vector space R2, where W is the set of all vectors of the form ['8] or M such that x and y are real numbers. Identify which properties of a subspace are satisfied and not satisfied. Justify each claim with a proof or counterexample. 1. The zero vector is in W. Y/N 2. W is closed under vector addition. Y/N 3. W is closed under scalar multiplication. Y/N