2D Linear Transformations

Every 2×2 matrix is a function on the plane. Drag the slider from 0 (identity) to 1 (full transform) and watch the grid bend.

A
×
Presets
Animation
t = 1
Geometric meaning

The colored parallelogram is the unit square after A. Its signed area is det(A).

det(A)=1\det(A) = 1
drag î or ĵ on the canvassnap: 0.1