The matrix is a main research object of algebra, transformation is a tool for the study of geometry. Matrix can be used to express the transformation. It can also be used to study the transformation. There is a close relation between the matrix and transformation. "The ordinary high school mathematics curriculum standard(Experiment)" set "matrix and transformation" as an elective course, this course also be added to the middle school mathematics teaching content, This part of content emphasizes the geometric significance of matrix.Research from the perspective of matrix and transformation by using modern mathematics and school mathematics, not only can contact the middle school mathematics knowledge and university mathematics knowledge, but also provides an effective method for solving the related mathematical problems. The paper study the matrix and transformation by combining modern mathematics and school mathematics. The first chapter describes the development process of matrix and transformation. The second chapter includes the important method of matrix and transformation and the theory of matrix and transformation. The third chapter describes the application of matrix and transformation in middle school mathematics, using matrix and transformation to solve problems such like polynomial, trigonometric function, progression, geometric and analytic geometry. Finally is to the research content summary. |