Brief summary of Linear Algebra with a few cool examples
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# Brief summary of Linear Algebra with a few cool examples

Abstract and concrete
New
0.0 (0 ratings)
2 students enrolled
Created by Dr Michael Sun
Last updated 7/2020
English
English [Auto]
Current price: \$34.99 Original price: \$49.99 Discount: 30% off
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This course includes
• 3.5 hours on-demand video
• 5 articles
• Full lifetime access
• Access on mobile and TV
• Certificate of Completion
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What you'll learn
• Definition of dimension
• Dual vector space
• kernel
• matrix multiplication as dot product
• determinants
Requirements
• 2 hour concentration span
• maths maturity
Description

Summarises ideas of abstract linear algebra and  goes through one list of fundamental exercises.

Then we transition into concrete linear algebra and talk about matrices. Some cool examples are included such as why finite fields have a prime power number of elements. A summary statement of Jordan Canonical form Theorem is also given.

Who this course is for:
• maths olympiad students wanting to learn linear algebra
• undergraduates who want to have another perspective on linear algebra
• anyone who likes maths and has sound thinking
Course content
Expand all 12 lectures 03:18:44
+ Introduction
3 lectures 27:34

If you have time and want to learn things slow, I suggest the next lecture's link to a youtube playlist.

The lectures here can be quite intense and are good if you just want to know how to think about everything when you are done.

Exercises are essential to understanding the finer details of a topic and are lacking here esp for matrices. However these are readily available everywhere.

Introduction
00:11
Preview 27:22

Something I would have really liked back in the day

Strang's MIT course on youtube
00:00
+ Examples
2 lectures 19:44
Preview 19:41
Projective plane
00:03
+ Concrete Linear algebra
4 lectures 02:08:47
Matrix multiplication defined
36:03
Preview 48:22
Invert a matrix
15:08
Change of basis
29:14