Determine whether the given set S is a subspace of the vector space V. A. V=P5, and S is the subset of P5 consisting of those polynomials satisfying p(1)>p(0). B. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=f(b). C. V=ℝn, and S is the set of solutions to the homogeneous linear system Ax=0 where A is a fixed m×n matrix. D. V=Mn(ℝ), and S is the subset of all n×n matrices with det(A)=0. E. V=P4, and S is the subset of P4 consisting of all polynomials of the form p(x)=ax3+bx. F. V=C2(I), and S is the subset of V consisting of those functions satisfying the differential equation yʺ=0. G. V=ℝ3, and S is the set of vectors (x1,x2,x3) in V satisfying x1-9x2+x3=8.