How -and Why- to Raise e to the Power of a Matrix

Explore the concept of raising e to the power of a matrix in this 27-minute video from 3Blue1Brown. Delve into general exponentials, love dynamics, Schrödinger's equation, and more. Begin with the definition, then examine the fascinating application to relationship dynamics. Progress through linear systems and general rotations before concluding with flow visualization techniques. Gain insights from references to Steven Strogatz's essay on mathematical models of love and Vladimir Arnold's textbook on ordinary differential equations. Follow along with time-stamped sections, and access additional resources including code, music, and related videos to enhance your understanding of this complex mathematical concept.

- Definition.
- Dynamics of love.
- Linear systems.
- General rotations.
- Visualizing with flow.