This video kicks off the series of videos on vector spaces. We begin by summarizing the essential properties of R^n.
In this video we continue to list the properties of R^n. The 10 properties listed in this video and the previous video will be used to define a general vecto...
The concept of a vector space is somewhat abstract, and under this definition, a lot of objects such as polynomials, functions, etc., can be considered as vectors. This video explains the definition of a general vector space. In later videos we will look at more examples.
Definition of a (real) vector space; properties of the zero vector and the additive inverse in relation to scalar multiplication
In this section we present a formal definition of a vector space, which will lead to an extra increment of abstraction. Once defined, we study its most basic properties.