[size=150]Use the applet below to explore the geometric effect of the matrix [i]T[/i] on the unit cube shown on the 3D view. [br][br][b]1.[/b] Click the button [b]Apply T[/b].[br][br][b]2.[/b] Then slowly drag the slider that will appear. As you do, pay attention to the [i]transformed[/i] cube, the values of the matrix and its determinant.[br][br][/size][b]Note: [/b]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.
[size=150]What do you notice? What do you wonder? List any observations you see below.[/size]
[size=150]Describe a relationship between the volume of the [i]transformed[/i] cube, the determinant of [i]T, [/i][/size][size=150][i]and [/i]the [i]unit[/i] cube.[/size]