( 1 point) 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=R2, and S is the set of all vectors (x1,x2) in V satisfying 8x1+9x2=0. c. 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). D. V=Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0)=0. E. V=Mn(R), and S is the subset of all nonsingular matrices. F. V=C1(R), and S is the subset of V consisting of those functions satisfying f(0)0. G. V=C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y(5)=0. ( 1 point) 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=R2, and S is the set of all vectors (x1,x2) in V satisfying 8x1+9x2=0. c. 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). D. V=Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0)=0. E. V=Mn(R), and S is the subset of all nonsingular matrices. F. V=C1(R), and S is the subset of V consisting of those functions satisfying f(0)0. G. V=C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y(5)=0