I was taught that every vector space has at least two subspaces: itself and its zero subspace. Does this still hold true for the zero vector space? You would think it would only have one subspace: itself, because it is also the zero subspace.
[Math] How Many Subspaces Does The Zero Vector Space Have
linear algebravector-spaces
Related Question
- Linear Algebra – Forming Infinitely Many Subspaces from Finite Dimensional Vector Space
- [Math] Can a subspace of a vector space $V$ have a different form of zero vector
- $K = \mathbb{Z} / 2 \mathbb{Z}$. How many subspaces does the $K$-vector space $K^2$ have
- Proving the isomorphism between subspaces of a vector space and subspaces of quotient spaces
Best Answer
The two subspaces in question here are the same, so the zero space really has one subspace - itself.