Matrix transforms for computer games and animation Introduction to Matrix NotationDeterminants Matrices D Matrix Transforms 3D Transforms Quaternions Conclusion. Matrix transforms are ubiquitous within the world of computer graphics where they have become an invaluable tool in a programmers toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling translation reflection and rotation. Nevertheless for some newcomers to the world of computer games and animation matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations and were subsequently embrace by the compter graphics community to describe the geometric operations for manipulating two and three dimensional structures. Consequently to place matrix notation within an historical context the author provides reders with some useful background to their development alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations this book does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation determinants matrices 2D transforms 3D transforms and quaternions and includes many worked example to illustrate their practical use. Publisher