Determine whether the given set S\' is a subspacc of the vector space V. V = Mn(

Question

Determine whether the given set S' is a subspacc of the vector space V. V = Mn(R), and S is the subset of all skew-symmetric matrices. V = C2(I), and S is the subset of V consisting of those functions satisfying the differential equation y" - 4 if + 3y = 0. V = P3, and S is the subset of P3 consisting of all polynomials of the form p(x) = ax3 + bx. V = P5, and S is the subset of P5 consisting of those polynomials satisfying p( 1) > p(0). V = R2, and S is the set of all vectors (x1, x2) in V satisfying 5x1 + 6x2 = 0. V = C3 (I), and S is the subset of V consisting of those functions satisfying the differential equation y''' + 4y = x2. 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) = 5.

Explanation / Answer

A. Yes B. Yes C. Yes D. No E. Yes F. No G. No

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