Rotate Ellipse using Quadratic Form

This example demonstrates how to write the equation of an ellipse that undergoes a change of basis to obtain a rotation using a construction protocol. Key math concepts include quadratic forms, ellipse equations, and linear transformations. GeoGebra commands and objects like Element, a, b, eq1, D, A, u, v, S, m1, a', b', c', eq2, text1 are used to construct and illustrate the rotation of the ellipse. Suitable for high school and above learners to understand concepts in analytical geometry and linear algebra regarding transformations.