Eigenvalues & Eigenvectors

Linear map v ↦ A·v in R²

Matrix A

(

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Presets

Eigenvalues

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Chosen vector

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Edit A's entries or pick a preset.
first eigenspace E_λ₁ second E_λ₂
chosen v image A·v
Drag ● to choose v. When v lies on an eigenspace, A·v stays on the same line (it is just scaled by λ).