Some words to you who are going to attend Matrix Theory course

With the development of science and technology, Matrix Theory is widely used in a variety of areas including applied math, computer science, biology, economics, engineering, modern physics, operations research, statistics, and others.

Modern work in matrix theory is not confined to either linear or algebraic techniques. The subject has a great deal of interaction with combinatorics, group theory, graph theory, operator theory, and other mathematical disciplines. Matrix theory is still one of the richest branches of mathematics. When using matrix theory and methods to deal with engineering problems, we have merits of expressing briefly, characterizing problems profoundly, and so on.

This course covers various topics from special types of matrices to matrix norms, focusing on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. Relevant research papers are introduced to help catch the frontier of the recent development on matrix theories. In addition, a learning-by-doing application class project is assigned to allow students in groups to investigate a problem in science, computing, engineering, business, or some other field that is of mutual interest and which can be addressed using techniques and concepts of Matrix Theory learned (or self- learned).

The students will build a perspective of Matrix Language to consider problems in science and engineering, and acquire relevant conclusions and methods of matrix theory and its applications. Through studying this course, the students will build a research-learning spirit with matrix way of studying. Students are expected to have the ability to apply matrix analysis theory to study and address practical engineering problems.