A Friendly Introduction to Abstract Algebra / Group theory (lesson 3): SYMMETRIES AS MATRICES

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You can download problem set 3 here:

00:00 Introduction / overview
01:01 Putting the triangle in a vector space
03:02 How to obtain the matrix
07:50 D_3 but with matrices
12:24 Inverses
15:15 Generators of D_3^Mat
16:32 Do the exercises and like this video, damn it!
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Please continue this series. Thank you for making this one.

aestheticx
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Thanks for the brilliant explanations!

crisle
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Enjoying this very much. Please continue.

biscotty
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Very nice stuff, I haven't had the time to do the exercises but I'll go through them in next month!

ihmejakki
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As a mathematician, do you tend to think of matrices more as objects or as morphisms that are applied to objects? Or is it both and just context dependent?

culturemanoftheages