EIGENVALUE VISUALIZATION

Linear Transformations & Eigenvectors

A 2×2 matrix defines a linear transformation. Eigenvectors (colored arrows) are the special directions that only scale — never rotate — under the transformation. Drag the sliders to reshape the matrix and watch eigenvectors shift in real time.

MATRIX ENTRIES

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Matrix: [ a b / c d ]
Computing...
Science: Eigenvalues λ satisfy det(A−λI)=0. They tell you how the transformation stretches each special direction. Real eigenvalues → stretching/reflection; complex → rotation.