Answer Happy

Determine whether the given set S is a subspace of the vector space V. = = A. V = Mn(R), and S is the subset of all upper triangular matrices. B. V = C5(0,1), and S is the subset of V consisting of those functions satisfying the differential equation y(5) = 0. C. V = P2, and S is the subset of P2 consisting of all polynomials of the form p(ac) = x2 +c. D. V =R”, and S is the set of solutions to the homogeneous linear system Ax O where A is a fixed m x n matrix. E. V = P3, and S is the subset of P3 consisting of all polynomials of the form p(x) = ax3 + bx. F. V = R2, and S consists of all vectors (21, x2) satisfying xi – xź = 0. G. 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) = 4. - 0 =