Matrix Explorer with Eigenvectors and animation
Drag points I' and J' to change the matrix.
Points I and J represent the unit basis vectors (1,0) and (0,1), while points I' and J' are their images under the transformation.
On the left you can:
- Drag points I' and J'
- Drag the background and zoom in or out with your mouse wheel
- Show some example matrices ("Show examples")
- Show the eigenvectors, eigenvalues (and invariant lines on the right hand diagram)
- Type in a matrix of your choice ("Allow typed input")
- show [n] vectors spread around the unit circle ("Show original vectors")
- show the [n] vectors after they've been transformed by the matrix ("Show transformed vectors")
- show the change vector from before to after ("Show connecting vectors")
- show the animation of the originals becoming the new vectors ("Show animation")
- adjust the number [n] of vectors used ("No. of vectors to transform")