VisualizationsMathematics
Matrix Transformations
Watch a 2×2 matrix bend the whole grid of space. See where the basis vectors land, drag your own vector, and spot the eigenvectors — the directions that never turn.
Try a transformation
The matrix (its columns)
[
0.0-1.01.00.0
]Column 1 (orange) is where î lands; column 2 (blue) is where ĵ lands.
Faint grid = space before; orange grid = after. Drag the white dot to move your vector and watch its image follow. This transform has no real eigenvectors — a pure rotation turns every direction.
Related topics: Linear Algebra