Complex Numbers as Vector Rotations
In this video I illustrate how complex numbers can be interpreted as vector rotations. This follows from my earlier video on equating the Rotation Matrix as a complex number. Rotating a vector by 0° is equivalent to multiplying the vector by the Identity Matrix [I]. Rotating a vector by 90° is equivalent to multiplying the vector by the Imaginary Matrix [i]. This is quite amazing, both in that complex numbers can be interpreted as vector rotations and also in that the imaginary unit i can be viewed as a 90° rotation!
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
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
6:20
Math Easy Solutions
2 days agoMystery Flashes on 9/11
1592 -
LIVE
Right Side Broadcasting Network
6 days agoLIVE REPLAY: President Donald J. Trump Holds a Rally in Las Vegas, NV - 6/9/24
5,163 watching -
16:09
Clownfish TV
15 hours agoMicrosoft DISABLES Windows Recall After MASSIVE Public Backlash!
41.1K69 -
16:17
TENET Media
18 hours agoThe Shopping Cart Theory | Matt Christiansen
47.1K37 -
17:55
JoBlo Originals
1 day agoWhat Happened to EPIC MEAL TIME?
52.1K7 -
31:02
Degenerate Plays
17 hours agoBest Girl Needs Her Swimsuit - Final Fantasy 7: Ever Crisis : Part 2
54K8 -
48:14
World Nomac
1 day agoMy First Time in Shanghai, China 🇨🇳
58.6K13 -
2:57:13
SNEAKO
18 hours ago"Who Do You Hate the Most?" - One Minute Podcast
124K121 -
4:47:25
SonnyFaz
13 hours agoDr. Shiva x Sonny IRL
70.7K50 -
4:28:03
LumpyPotatoX2
20 hours agoSub-Sunday on Rumble - #RumbleTakeover
77.9K4