How (and why) to raise e to the power of a matrix | DE6

General exponentials, love, Schrödinger, and more. Help fund future projects: An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ The Romeo-Juliet example is based on this essay by Steven Strogatz: The book shown at the start is Vladimir Arnold’s (excellent) textbook on ordinary differential equations. Need a review of ordinary powers of e? Or of linear algebra? Timetable 0:00 - Definition 6:40 - Dynamics of love 13:17 - Linear systems 20:03 - General rotations 22:11 - Visualizing with flow ------------------ Code for this video: These animations made using a custom python library, manim. See the FAQ comments here: #manim You can find code for specific videos and projects here: Music by Vincent Rubinetti. Download the music on Bandcamp: Stream the music on Spotify: ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: Various social media stuffs: Website: Twitter: Reddit: Instagram: Patreon: Facebook: