Determine whether the given set S is a subspace of the vector space V. V is the

Question

Determine whether the given set S is a subspace of the vector space V. 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 V = C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y5= 0. V = Mn(R), and S is the subset of all n times n matrices with det( A) = 0. 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 V = Rn, and S is the set of solutions to the homogeneous linear system Ax = 0 where A is a fixed m times n matrix. V = C'3 (I), and S is the subset of V consisting of those functions satisfying the differential equation y"' - y' = 1. V = P3, and S is the subset of P3 consisting of all polynomials of the form p(x) = ax3+bx.

Explanation / Answer

its A,b and F

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