Association Schemes of Matrices is an 8- chapter monograph that has met with wide success throughout the Chinese mathematics community. The main emphasis of this book is on the association schemes of various types of matrices. The matrix method here is elementary and requires little mathematical background. An undergraduate student who has completed a course in linear algebra and abstract algebra will be able to take on a research project on matrix groups and their geometries with the matrix techniques that are presented by the mathematicians that have contributed to this project. The matrix method has proven to be effective when the underlying field has fewer elements or in lower dimensions.