5.1. Definition of Linear Independence - Linear Algebra and Analytic Geometry

The concept of linear dependence is what makes vector different from just elements of a set. It is the algebraic structure defining the vector space that creates this relationship.

Course chapters:

0. Introduction

1. Vector Spaces

2. Geometrical interpretation: vectors (algebra)----points (geometry)

3. Geometrical interpretation: sum and product by scalars

4. Sub-Vector Spaces and Linear Combinations

5. Linear Dependence

6. Matrices

7. ....