eigen.fun is an interactive website for playing with 2D linear transformations. You can create and play with linear transformations, and see how the plane is morphed by your changes. There are various linear algebra operations you can do to modify the matrix that repersents the current linear transformation. I hope you have fun playing with linear transformations!

Drag around the basis vectors to directly change the current transformation. You can also use the toolbar at the top to apply certain matrix actions to the current transformation. There is a point that is initially at (1, 1). It is transformed with the rest of the plane, and can be used to easily see how a transformation affects a single point.

You can use eigen.fun to experiment with interesting transformations, and see exactly what moving around the basis vectors does. You can also get a better intuition for what the matrix actions in the toolbar do to the linear transformation.