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Motivating Eigenvalues and Eigenvectors with Differential Equations

Motivating Eigenvalues and Eigenvectors with Differential Equations

Steve Brunton via YouTube Direct link

The Simplest System of ODEs: Decoupled Diagonal Dynamics

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The Simplest System of ODEs: Decoupled Diagonal Dynamics

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Classroom Contents

Motivating Eigenvalues and Eigenvectors with Differential Equations

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  1. 1 Overview
  2. 2 Problem Setup
  3. 3 The Simplest System of ODEs: Decoupled Diagonal Dynamics
  4. 4 Finding a Coordinate System Where Dynamics Look Diagonal
  5. 5 Deriving the Eigenvalue/Eigenvector Equation
  6. 6 A Picture of the Eigenvalue Equation
  7. 7 Recap and Summary

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