Linear algebra: Basis and Dimension

In this video we talk about what a basis is, what it means for something to be a basis and how to find a basis for some vector space. 00:00 - Introduction 00:20 - Definition of a basis (With a example to explain) 03:56 - How to check if something is a basis 06:29 - The basis for the 0 vector space 08:02 - Example 1 17:03 - Example 2 23:34 - Definition of dimension 24:29 - Dimension of simple vector spaces 28:39 - Example 3 31:57 - Coordinate vectors 35:15 - Example 4 40:19 - Example 5 52:49 - Linear independence and spanning with dimension 59:11 - Example 6