Determine whether the given set S is a subspace of the vector space V. A. V is the vector space of all real-valued functions defined on the interval (−[infinity],[infinity]), and S is the subset of V consisting of those functions satisfying f(0)=0.B. V=Mn(R), and S is the subset of all nonsingular matrices. C. V=C3(I), and S is the subset of V consisting of those functions satisfying the differential equation y′′′+7y=x2.D. V=C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y(5)=0.E. V=Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0)=0.F. V=Mn(R), and S is the subset of all upper triangular matrices. G. V=P2, and S is the subset of P2 consisting of all polynomials of the form p(x)=x2+c.