- #1
Mdhiggenz
- 327
- 1
Homework Statement
Prove that if S is a subspace of R1, then either S={0} or S=R1.
Trying to come up with a proof I dissected each statement, I know that in order for S to be
a subspace the zero vector must lie within the subset. So I know S={0} is true. I then
checked an arbitary vector x1 which lies on R1 to make sure it
was closed under scalar multiplication, and addition, and that checked out as well.
Not sure if I am on the right track.
Thanks