Linear Transformations and Image Manipulation
Use the sliders to manipulate the elements of the 2 x 2 transformation matrix "T". How do each of the elements in the matrix contribute to changes in the image?
What is the effect of "a"? Of "b", "c" and "d" ? Which of the following can be achieved by manipulating the elements of T? And how? 1. reflection across the x axis and y axis. 2. dilations by a factor of 3. (Consider horizontal dilations, vertical dilations and dilations about the origin.) 3. Rotation by 180 degrees about the origin. 4. Rotation by 90 degrees about the origin. 5. Rotation by 23 degrees about the origin.