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.
Ask about this pictureMatrix
- det A
- 1.00
- trace
- 2.00
- e₁ → (a, c)
- (1.00, 0.00)
- e₂ → (b, d)
- (0.80, 1.00)
- eigenvalues
- 1.00 (repeated)
Light axis: image of e₁, the first column (a, c). Moss axis: image of e₂, the second column (b, d). The parallelogram is the image of the unit square. When det = 0 the square collapses.
Ask the studio
Linear maps in the plane
This chat can see the instrument. Questions here are about this picture.
Exclusive to this lab — pick one, or type your own about the controls.