Determine whether the given set S is a subspace of the vector space V. A. V=C 2
(I), and S is the subset of V consisting of those functions satisfying the differential equation y ′′
−4y ′
+3y=0. B. V=M n
​
(R), and S is the subset of all nonsingular matrices. 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)=3. D. V=P 3
​
, and S is the subset of P 3
​
consisting of all polynomials of the form p(x)=x 2
+c. E. V=P 4
​
, and S is the subset of P 4
​
consisting of all polynomials of the form p(x)=ax 3
+bx. F. V=M n
​
(R), and S is the subset of all diagonal matrices. G. V=R 2
, and S is the set of all vectors (x 1
​
,x 2
​
) in V satisfying 3x 1
​
+4x 2
​
=0.