Mathematics
Mathematics, 12.06.2020 16:57, cece9080

Determine whether the given set SS is a subspace of the vector space VV. A. VV is the vector space of all real-valued functions defined on the interval [a, b][a, b], and SS is the subset of VV consisting of those functions satisfying f(a)=7.f(a)=7. B. V=Mn(R)V=Mn(R), and SS is the subset of all symmetric matrices C. V=Mn(R)V=Mn(R), and SS is the subset of all nonsingular matrices. D. V=C2(I)V=C2(I), and SS is the subset of VV consisting of those functions satisfying the differential equation y′′=0.y″=0. E. V=P5V=P5, and SS is the subset of P5P5 consisting of those polynomials satisfying p(1)>p(0).p(1)>p(0). F. VV is the vector space of all real-valued functions defined on the interval [a, b][a, b], and SS is the subset of VV consisting of those functions satisfying f(a)=f(b).f(a)=f(b). G. V=PnV=Pn, and SS is the subset of PnPn consisting of those polynomials satisfying p(0)=0.p(0)=0.

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