Activity 1: Matrices as linear transformations

Instrucctions

Use the applet below to explore the geometric effect of the matrix T on the square of side 2, centred at the origin. 1. Click on the button Apply Matrix. 2. Then slowly drag the slider that will appear. As you do, pay attention to the transformed square, the values of the matrix, and its determinant. Note: Use your mouse wheel to zoom in or out.

What do you notice? What do you wonder? List any observations you see below.

Based on your observations, select all the words that can be used to describe the effect of the matrix T on the square of side 2.

Check all that apply