Which of the following sets are subspaces of R3 ? A. {(x, y,z)|3x+8y-5z=2}
B. {(x, y,z)|-4x-9y+7z=0}
C. {(x, y,z)|x D. {(-4,y, z)|y, z arbitrary numbers}
E. {(x,0,0)|x arbitrary number}
F. {(-2x,-3x,-8x)|x arbitrary number}

The following are the solution to the given points:

Step-by-step explanation:

for point A:

The set A is not part of the subspace

for point B:

The set B is part of the subspace

for point C:

In this, the scalar multiplication can't behold

∉ C

this inequality is not hold

The set C is not a part of the subspace

for point D:

The scalar multiplication s is not to hold

∉ D

this is an inequality, which is not hold

The set D is not part of the subspace

For point E:

The   is the arbitrary, in which is arbitrary  

The set E is the part of the subspace

For point F:

The arbitrary so, they have as the arbitrary

The set F is the subspace of

the third picture

step-by-step explanation:

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4