Let a be an mxn matrix. show that the set of all solutions to the homogeneous equation ax=0 is a subspace of r^n and the set of all vectors b such that ax=b is consistent is a subspace of r^m. is the set of solutions to a non-homogeneous equation ax=b a subspace of r^n? explain why or why not.

sorry, i can't understand your question. will later if you describe more clearly!

: )

english maybe i can ..

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.