Determine whether the given set S is a subspace of the vector space V. A. V = C¹(R), and S is the subset of V consisting of those functions satisfying f'(0) ≥ 0. B. V = Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0) = 0. ]C. V = C²(I), and S is the subset of V consisting of those functions satisfying the differential equation y" — 4y' + 3y = 0. D. V is the vector space of all real-valued functions defined on the interval (-∞, ∞), and S is the subset of V consisting of those functions satisfying f(0) = 0. Mn(R), and S is the subset all symmetric matrices ] F. V = C³(I), and S is the subset of V consisting of those functions satisfying the differential equation y" + 4y : x². = □G. V = M₂ (R), and S is the subset of all nonsingular matrices. E. V = =

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