Transformation Matrices Geogebra

This is a GeoGebra tool to help teach the Transformation Matrices topic.

You can use it in the browser without downloading any software here.

The purple vectors a and b can be dragged around with the mouse, and these control the transformation matrix.
(a is the image of the i unit vector (1,0) and b is the image of the j unit vector (0,1))

This transformation is applied to object PQRS to give the image P’Q’R’S’. The object points can also be dragged around with the mouse. The image can be hidden and revealed.

You can also show the matrix and the matrix multiplication using a checkbox - sorry it doesn’t align perfectly, but it is hopefully sort of ok.

I’ve included an inksplat so I can use it to show the calculation but hide most of the answer, as a lesson starter.
(This image belongs to Pixabay.)

I will be writing down some ideas about how to incorporate this into a lesson on my blog. Please leave a comment if you have suggestions or ideas to make this better.