How (and why) to raise e to the power of a matrix | DE6
General exponentials, love, Schrödinger, and more.
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The Romeo-Juliet example is based on this essay by Steven Strogatz:
http://www.stevenstrogatz.com/essays/...
The book shown at the start is Vladimir Arnold's (excellent) textbook on ordinary differential equations.
https://amzn.to/3dtXSwj
Need a review of ordinary powers of e?
• What's so special about Euler's numbe...
Or of linear algebra?
• Linear transformations and matrices |...
Timetable
0:00 - Definition
6:40 - Dynamics of love
13:17 - Linear systems
20:03 - General rotations
22:11 - Visualizing with flow
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