Within spaces (
To give na example, a subspace of
- The set includes the zero vector
- The set is closed under scalar multiplication
- The set is closed under addition
Keep in mind that the first condition, that a subspace must include the zero vector, is logically already included as part of the second condition, that a subspace is closed under multiplication.
A span is always a subspace.
Тhe zero vector is always a subspace.
Аn entire space