Earth Rotation and Matrix Multiplication: Matrix Applications in Animation

① This GeoGebra example demonstrates the rotation of the Earth around an axis, vividly illustrating how matrix multiplication drives rotational transformations in three-dimensional space. ② The core mathematical concepts are matrix multiplication and rotation transformations, involving vectors, angles, equilateral triangles, and the linear mapping of point coordinates by matrices. ③ Construction highlights: Point defines key points O and B, ApplyMatrix applies a rotation matrix to point B to obtain B', Segment connects line segments, Angle constructs rotation angles α and β, and image objects pic1 and pic2 serve as Earth textures, with sliders or dynamic parameters controlling the rotation process. ④ Suitable for high school or early college students learning linear algebra and geometric transformations, as well as for introductory computer graphics, helping to understand the practical use of matrices in animation and 3D rendering.