হোম / ক্যালকুলেটর / Eigenvalues & Eigenvectors

Eigenvalues ও Eigenvectors (2x2, 3x3) — ধাপে ধাপে

Characteristic polynomial, rational-root চেক, QR iteration, eigenvector, residual ও diagonalizability ধাপে ধাপে দেখিয়ে শেখান, শেয়ারযোগ্য আউটপুটসহ।

অন্যান্য ভাষা: ja | en | es | zh-CN

ইনপুট

2x2 visualization (grid, eigenvector, power iteration)

ফলাফল

কীভাবে হিসাব করা হয়েছে

    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.