In: Advanced Math
9. Let S = {[ x y]; in R2 : xy ≥ 0} . Determine whether S is a subspace of R2.
(A) S is a subspace of R2.
(B) S is not a subspace of R2 because it does not contain the zero vector.
(C) S is not a subspace of R2 because it is not closed under vector addition.
(D) S is not a subspace of R2 because it is not closed under scalar multiplication.