Axioms of a vector space, arbitrary vector space

math.la.d.vsp.axioms.arb


This video kicks off the series of videos on vector spaces. We begin by summarizing the essential properties of R^n.

License
CC-BY-SA-4.0
Created On
January 1st, 2017
4 years ago
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3
Type
 Video
Perspective
 Introduction
Language
 English
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text/html; charset=utf-8

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...

License
CC-BY-SA-4.0
Created On
December 28th, 2016
4 years ago
Views
3
Type
 Video
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8

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.

License
CC-BY-SA-4.0
Created On
January 1st, 2017
4 years ago
Views
2
Type
 Video
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8

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.

License
GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
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2
Type
 Textbook
Language
 English
Content Type
text/html