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Eigen Intuition Lab

This visualisation uses AI Generated code, finetuned for the best visualisation, not code quality

eigen2.mov

Interactive Raylib lab for understanding eigenvectors, eigenvalues, invariant directions, and how linear transforms stretch, rotate, or preserve specific directions in the plane.

What This Visualisation Shows

  • How a matrix transforms vectors and reshapes the surrounding grid
  • Why eigenvectors are the directions that keep their direction under the transform
  • How eigenvalues describe stretch, flip, or collapse along those invariant directions
  • Multiple presets and pages for comparing transform pictures directly

Visual Map

flowchart LR
    A["Matrix A"]
    B["Transform Vectors"]
    C["Track Invariant Directions"]
    D["Eigenvectors"]
    E["Eigenvalues / Stretch"]
    F["Geometric Intuition"]

    A --> B
    B --> C
    C --> D
    D --> E
    E --> F
Loading

Controls

  • q: quit
  • Preset and page controls are exposed in the top UI
  • Mouse interactions drive the active transform views

Run

make run