# Activity 4: Matrices as linear transformations

- Author:
- Juan Carlos Ponce Campuzano

## Instructions

Use the applet below to explore the geometric effect of the matrix

*T*on the unit cube shown on the 3D view.**1.**Click the button**Apply T**.**2.**Then slowly drag the slider that will appear. As you do, pay attention to the*transformed*cube, the values of the matrix and its determinant.**Note:**After applying T, you can change the position of the cube. Just drag the point that will appear on its corner. Click on it to toggle moving up-down & left-right.What do you notice? What do you wonder? List any observations you see below.

Describe a relationship between the volume of the *transformed* cube, the determinant of *T, **and *the *unit* cube.