Geometric interpretation of the Jacobian
- Juan Carlos Ponce Campuzano
Consider the parabolic transformation and . The Jacobian establishes a relationship between the area of the blue square (left) and the area of the red region (right). Instructions:
- Drag the green point (on the left) to change the position of the blue square. Observe what happens to the red region.
- Drag the slider , which determines the side of the blue square. See what happens to , for small values of .
- Zoom in or out, if necessary.