Linear Algebra · Where the axes go
Linear maps in the plane
Drag a 2×2 matrix and watch the unit grid, the basis, and the determinant change together.
Matrix
- det A
- 1.00
- trace
- 2.00
- eigenvalues
- 1.00 (repeated)
Light axis: image of e₁. Moss axis: image of e₂. The parallelogram is the image of the unit square. When det = 0 the square collapses.