Interactive Demo of Vectors and Matrices

This example demonstrates the application of vectors and matrices in geometric transformations through interactive means. By constructing and manipulating vectors u, matrix m, and points A, B, it illustrates how matrices transform vectors and plots the resulting trajectories. Key mathematical concepts include vector operations, matrix applications, geometric transformations, and analytical geometry. GeoGebra commands used are Intersect, Vector, and ApplyMatrix, making it suitable for high school and above students to understand the connection between linear algebra and geometric transformations, as well as to develop spatial reasoning skills.