Name: Complex Numbers: Definition and Vector Form
Uploaded: 2023-03-06T18:27:02+00:00
Duration: 6 min 21 s
Description: 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 i^2 = -1. They are cal

1 year ago

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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 i^2 = -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: https://youtu.be/Mgp2vrQeLEw
- Video notes: https://peakd.com/hive-128780/@mes/complex-numbers-as-rotation-matrices
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E6x0dZEAx77Kqv7LLxYdbx