A simple visualiser tool to see the effects of repeated 3x3 matrix applications for a selected matrix. Will also display determinant, eigenvectors and eigenvalues.
This was mostly started as I struggle to picture them, and we are covering linear algebra in uni right now so kinda useful i guess?
It's a Vite React project - install the node modules with:
npm installThen run with:
npm run dev- You can select a matrix yourself, or pick from preselected ones: Scale, Rotation, Shear, Mixed or Identity.
- A point cloud is set up with presets of: Circle, Square, Cube and Sphere to help you visualise the effects of the matrix.
- You can click on a point to track where it goes - coordinates are displayed in log in the bottom left.
- The 2D plane can be toggled on or off depending on how you feel
- Eigenvectors can also be toggled on or off. Note complex (magenta) eigenvectors will not be shown.
- To play the transformations - either use the step button or the animate button, which oscillates through iterations 0 to 9.
