Eigenvalues & Eigenvectors (2x2, 3x3) — with steps

Inputs

Matrix size Matrix A (rows separated by newlines) Tolerance (tol) Power iteration start x0 Angle unit (2x2 viz)

2x2 visualization (grid, eigenvectors, power iteration)

Result

How it's calculated

Teacher notes

FAQ

Can I export the steps or share the setup?

Use Alt+S (or the Share button) to copy a URL with all inputs encoded. Alt+L copies a LaTeX summary of the characteristic polynomial for worksheets or LMS uploads.

What happens with repeated or defective eigenvalues?

The tool compares algebraic and geometric multiplicities. If the geometric multiplicity is smaller, the diagonalizability badge switches to “No” and residuals highlight the defective eigenspace.