Eigenvalue calculator
Find eigenvalues and eigenvectors of a matrix. Includes characteristic polynomial, diagonalization, and step-by-step solutions.
Matrix
Eigenvalues and eigenvectors
Av = λv — an eigenvector v is scaled by factor λ (eigenvalue) when multiplied by A.
Finding eigenvalues
Solve det(A − λI) = 0. For 2×2: λ² − tr(A)λ + det(A) = 0.
Applications
Google PageRank, quantum mechanics, vibration analysis, PCA in machine learning, stability analysis of systems.
Popular systems of equations
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