My professor mentioned in class that every vector space has at least two subspaces: itself and the zero subspace.
When I asked him if this rule was an exception for the zero vector space, he thought about it and said no, followed by a reason which I didn't understand then and don't remember now (I think it was something along the lines of the zero subspace and vector space not being the same?). How does the zero vector space have 2 subspaces?
Best Answer
To be a subspace of $V$, $U$ must be a non empty subset of $V$, and then $U$ has to satisfy ...
How many non empty subset of the zero space $V=\{0\}$ have?