The matrix is an important mathematical tool not only for mathematics, but also for physics, electronics, signal and information processing, communications, control, pattern recognition and many other disciplines. The main contents of the course include the fundamentals of matrices, matrix analysis, eigen values and singular values of matrices, subspace analysis, projection analysis, and matrix in Matlab. This course puts an emphasis on the combination of the matrix the ory and the application of science and engineering technology. The examples involve the applications in electronics, signal and information processing, communications, control, pattern recognition and many other disciplines.