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Eigenvectors & Eigenvalues

Finding the invariant directions of a linear transformation

Decompositions

Matrix Controls

Show Eigenvectors

Eigenvalues

Basis View: Watch how the grid morphs into parallelograms. The entire transformation is defined by where the standard basis vectors e₁ (1,0) and e₂ (0,1) land.

Eigen View: Toggle on to reveal the hidden "bones" of the matrix—the vectors that stay perfectly on their original lines.

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