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Linear algebra: Basis and dimension
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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)
03:19 - How to check if something is a basis
04:14 - Example 1
12:38 - Example 2
16:38 - Common basis vectors for a vector space
19:35 - Definition of dimension
20:47 - Dimension of simple vector spaces
21:53 - Example 3
24:20 - Coordinate vectors
26:31 - Example 4
30:32 - Example 5
42:34 - Linear independence and spanning with dimension
46:22 - Example 6
00:00 - Introduction
00:20 - Definition of a basis (With a example to explain)
03:19 - How to check if something is a basis
04:14 - Example 1
12:38 - Example 2
16:38 - Common basis vectors for a vector space
19:35 - Definition of dimension
20:47 - Dimension of simple vector spaces
21:53 - Example 3
24:20 - Coordinate vectors
26:31 - Example 4
30:32 - Example 5
42:34 - Linear independence and spanning with dimension
46:22 - Example 6
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