Determine whether the given set SS is a subspace of the vector space VV. A. V=R2V=R2, and SS is the set of all vectors

[answerhappygod]

Determine whether the given set SS is a subspace of
the vector space VV.

A. V=R2V=R2, and SS is the set of
all
vectors (x1,x2)(x1,x2) in VV satisfying 8x1+9x2=0.8x1+9x2=0.
B. V=C1(R)V=C1(R), and SS is the
subset of VV consisting of those functions
satisfying f′(0)≥0.f′(0)≥0.
C. V=Mn(R)V=Mn(R), and SS is the
subset of all n×nn×n matrices with det(A)=0.(A)=0.
D. V=R5V=R5, and SS is the set of
vectors (x1,x2,x3)(x1,x2,x3) in VV satisfying x1−9x2+x3=8.x1−9x2+x3=8.
E. V=C5(I)V=C5(I), and SS is the
subset of VV consisting of those functions satisfying the
differential equation y(5)=0.y(5)=0.
F. V=PnV=Pn, and SS is the subset
of PnPn consisting of those polynomials
satisfying p(0)=0.p(0)=0.
G. V=Mn(R)V=Mn(R), and SS is the
subset of all skew-symmetric matrices.