## Visualizing Linear Transformations
Click and drag the vectors
- Ctrl + [click and drag] on the background to move the coordinate axes around.
- Ctrl + [scroll wheel] to zoom in and out.
- What changes when
**v**is held constant and**u**is moved? - Make a transformation that doubles the area of the picture but keeps the aspect ratio true.
- Make a transformation that rotates the picture.
- Make a transformation that reflects the picture.
- Which configuration of
**u**and**v**keep the picture "unreflected" and which configurations will reflect it? - What configuration of
**u**and**v**will make the determinant zero? - How is the sign of the determinant (+ or -) related to the transformation?
- How is the magnitude of the determinant related to the transformation?
Marc Renault, Created with GeoGebra |