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How (and why) to raise e to the power of a matrix | DE6
A 27-minute video by 3Blue1Brown about linear algebra and geometry and exponentiation and dynamics, on the Mathematics shelf. It was posted to r/3Blue1Brown as “New video! How (and why) to raise e to the power of a matrix | DE6”. It is pitched at intermediate level.
3Blue1Brown, Video, 27 min, 2021, on the Mathematics shelf
Builds the meaning of a matrix exponential through dynamical systems and generalized exponentiation.
Study notes
Intermediate, Derivation. Step 7 of 13 in The mathematics of change and signals
Helpful first
- Matrices
- Derivatives
- Differential-equation basics
What it builds
- Recognize that matrix exponentiation is not repeated multiplication of e.
- Define exponentiation through a power series.
- Connect matrix exponentials to systems of change.
Useful moments
Check yourself: Why is a matrix exponential useful for solving a coupled system of differential equations?
Notes are based on metadata, Reddit context and selected English caption passages. They are not a review of every claim in the video.
Builds the meaning of a matrix exponential through dynamical systems and generalized exponentiation.
