Question

Need help with vector subspace...
V=

Answer 1

\[v=\mathbb{R}^2\]
and S consists of all vectors (x,y) satisfying x^2-y^2=0

Answer 2

S will be the pure diagonals of the xy plane. ie. When y = +-x

Answer 3

it has to be determined whether it is a subspace of the given vector space. I know that I have to only show that it has the zero vector and it is closed under addition and scalar multiplication.

Answer 4

Problem is that I am not sure how I go about doing this. I know that this is not a subspace of the vector, but how do you prove this? any help????