Students can use this to explore linear transformations. Under what conditions:
- does the matrix produce a horizontal or vertical reflection?
- does the matrix produce a reflection in the line y = x? in the line y = -x ?
- does the matrix produce a dilation about the origin? a horizontal dilation ? a vertical dilation ?
- does the matrix preserve the sense of the object? reverse the sense ?
- will the area of the image be greater than the area of the object? less than the area of the object?
