# Vector Space

- A real valued vector space is a set with 2 operations:

- Inner operation: + which is closed in the set; forms an Abelian
- Outer operation: . where a real can be applied to the set resulting in another value in the set, satisfies distributivity, associativity and 1 acts as a neutral element

- Inner operation: + which is closed in the set; forms an Abelian
- mml-book
- Interface to discuss what's possible in vector spaces