Compute eigenvectors for each eigenvalue of a 2×2 or 3×3 real matrix.
An eigenvector v corresponding to eigenvalue λ satisfies (A − λI)v = 0. This calculator finds the null space of (A − λI) by row-reducing to RREF and reading off the free variables. Supported for 2×2 and 3×3 real matrices with real eigenvalues.
Eigenvector Equation
(A − λI)v = 0
No. Any scalar multiple of an eigenvector is also an eigenvector. This calculator returns one representative vector per eigenvalue, not normalised.
This calculator only computes eigenvectors for real eigenvalues. Complex eigenvectors of real matrices are not currently supported.