You've never seen imaginary numbers like this before

#some2
The material in this video is heavily inspired by Norman Wildberger's Youtube Channel.
Go check it out!
   / njwildberger  

0:00 Intro
1:23 2D symmetries
3:00 Matrix representation
5:04 Field
6:24 Quadratic Forms
8:34 Dot Product
11:20 Determinant
13:17 Complex Multiplication
14:54 Conics

More material:
Why reflection doesn’t make a field:
https://en.wikipedia.org/wiki/Split-c...

Matrix Representation of Conics
https://en.wikipedia.org/wiki/Matrix_...

Cauchy Riemann equations
https://en.wikipedia.org/wiki/Cauchy%...

Brahmagupta-Fibonacci Identity
https://en.wikipedia.org/wiki/Brahmag...

Hurwitz Problem
https://en.wikipedia.org/wiki/Hurwitz...

Binet-Cauchy Identity
https://en.wikipedia.org/wiki/Binet%E...


Music:
Welcome to Mafia Town – Pascal Michael Stiefel
Process – Tsutchie
Pushing Onwards – Magnus Pålsson
Fractal – Whitebat