PPolySim OS
For First Responders · Eigenvectors

Eigenvectors for a matrix transform

Built for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field. Simulate a matrix transform live below — adjust the inputs and watch it respond, right in your browser.

Eigenvector VisualizerLive

Controls

A matrix warps the unit circle into an ellipse. Eigenvectors are the special directions that only stretch — never rotate — by their eigenvalue.

Presets

▶ Run in Python

Data Inspector

det3.00
trace4.00
λ₁3.00
λ₂1.00

Governing equation

Reading this result: Symmetric matrix (b = c): its eigenvectors meet at right angles, so the ellipse axes line up exactly with the green and pink lines.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

More with Eigenvectors

Frequently asked questions

Is this good for first responders?
Yes — this version of "Eigenvectors for a matrix transform" is framed for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.