This course is provided by the  NYCU Department of Applied Mathematics .

Linear algebra plays a fundamental role across a wide range of disciplines, including engineering, computer science, data science, machine learning, deep learning, and quantum technology—all of which require a solid understanding of linear algebra.

This course is specifically designed for high school students interested in linear algebra and university beginners who have not yet formally studied the subject. It aims to provide an intuitive and inspiring introduction to the key concepts of linear algebra. To help learners overcome the unfamiliarity with abstract symbols and formal derivations, we take a practical, application-driven approach. Using foreground-background separation in image processing as the central theme, students are guided through real-world problems to naturally develop a conceptual understanding of vectors, matrices, rank, and related ideas. Through this design, we hope that students not only grasp the fundamental concepts of linear algebra but also appreciate its importance and relevance in modern technological applications.

Textbook：自編教材 ( 課程講義 )