Flashcards in Chapter 1 Deck (3)
Definition of a vector space
A vector space is a set V equipped with the following data.
1. Addition operation
2. A zero vector
3. Scalar multiplication operation.
And it should satisfy the 8 rules
What do we need to do to prove a certain set can be give the structure of a vector space?
1. Define a set V
2. Define the data of an addition operation, a zero vector and a scalar multiplication operation
3. Then this data should satisfy the 8 rules