In this video I go over complex numbers, their definition as well as representing them in vector form. Complex numbers involve the imaginary unit "i", which is defined such that i2 = -1. They are called "imaginary" because no real number can satisfy that equation. Complex numbers can be written as z = a + bi and they can be visualized as a vector on an Argand diagram. Later in this video I use a unit length complex number (aka length of 1) and write the complex number involving trigonometric functions as z = cos θ + sin θ i.
This video was taken from my earlier video listed below:
- Complex Numbers as Rotation Matrices:
- Video notes: @mes/complex-numbers-as-rotation-matrices
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E6x0dZEAx77Kqv7LLxYdbx
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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