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Linear Transformations Lab

Visualize 2D matrix transformations, eigenvectors, and determinants in real-time

Transformation Matrix

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Presets

Show Eigenvectors

Vectors that only scale, never rotate

Challenge Mode

The grid warps to a random matrix. Find and enter its inverse to restore identity.

Determinant1.000

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Area Preserved

det ≈ 1. This is area-preserving. Rotations and shear transformations with det=1 are called "special linear" (SL).

Transformed 'F' shape

Transformed grid

Ghost grid (identity)

x̂ axis

ŷ axis

Eigenvectors