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: ------------------ 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: #