✓ Effortless Math · Free Tool

Eigenvalue & Eigenvector Calculator

Find the eigenvalues (real or complex) and eigenvectors of a 2×2 or 3×3 matrix — with the characteristic polynomial, trace, determinant, and step-by-step working.

A v = λ v  ⟺  det(A − λI) = 0

Enter the matrix entries row by row. Real and complex eigenvalues are both handled.

Results

Eigenvalues (λ)
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Trace
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Determinant
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Characteristic polynomial
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Eigenvectors
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Step-by-step