This interactive tool demonstrates local linearization using the Jacobian matrix. It shows how a nonlinear transformation T(u,v) = (x,y) behaves like its linear approximation (given by the Jacobian matrix) near a point (u₀,v₀). Users can adjust u₀, v₀, Δu, and Δv to see how a rectangle in the uv-plane maps to a parallelogram in the xy-plane under the transformation.