Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Engineers · Eigenvectors

Eigenvectors for the birthday paradox

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate the birthday paradox live below — adjust the inputs and watch it respond, right in your browser.

Eigenvector VisualizerLive

2×2 linear transformation

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

A = [2.0 1.0 1.0 2.0], A v = λ v, det (A - λ I) = 0, λ = 3.00, 1.00

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.

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More with Eigenvectors

Eigenvectors for compound interest Eigenvectors for a population curve Eigenvectors for a loan payoff Eigenvectors for a logistic map Eigenvectors for a Fibonacci sequence Eigenvectors for a fractal tree Eigenvectors for a Fourier series Eigenvectors for a Taylor approximation

Frequently asked questions

Is this good for engineers?: Yes — this version of "Eigenvectors for the birthday paradox" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.