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Lecture 3 · Demo 3

What a Linear Map Changes

Key concept: A matrix W transforms space by stretching, rotating, or reshaping it.

Apply a 2×2 matrix W to a grid, circle, and point cloud. Ghost positions, displacement lines, singular axes, and histograms show how the geometry and spread change.

What to look for: play the morph to see the circle become an ellipse. Points move farthest along the dominant stretch direction.

Open the demo in a new tab for more room.