Activity 1: Matrices as linear transformations
Instrucctions
[size=150]Use the applet below to explore the geometric effect of the matrix [i]T[/i] on the square of side 2, centred at the origin.[br][br][b]1.[/b] Click on the button [b]Apply Matrix.[br][br]2.[/b] Then slowly drag the slider that will appear. As you do, pay attention to the [i]transformed[/i] square, the values of the matrix, and its determinant.[br][/size][br][b]Note:[/b] Use your mouse wheel to zoom in or out.
[size=150]What do you notice? What do you wonder? List any observations you see below.[/size]
[size=150]Based on your observations, select all the words that can be used to describe the effect of the matrix [i]T[/i] on the square of side 2.[/size]