Move the points below and observe what happens. Calculate the determinant of the matrix and note your observations.[b] [color=#ff00ff]Only move the slider once you have answered the questions below[/color][/b][color=#ff00ff]. [/color]

1.) How are the coordinates of the points related to the square matrix? [br]2.) What do you observe about the determinant of the matrix? How is it related to the figure? [br]3.) When is the determinant positive, negative, or 0? [br]4.) Based on your findings in questions 1 to 3, make a conjecture about the determinant of a 2 by 2 matrix.