This book serves as both an introductory and advanced course in applied linear algebra, targeting mathematicians, computer scientists, engineers, and scientists. It offers a gentle introduction to scientific computing problems and the diverse methods for solving them. Each numerical method is presented through examples and geometric motivation, followed by a concise computation process, mathematical derivation, and relevant theoretical discussions. To enhance teaching flexibility, chapters and sections start with basic material and progressively advance to more complex concepts. Applications of linear systems and eigenvalue problems are explored, exposing students to theoretical, applied, and numerical mathematics across various disciplines. Practical methods are demonstrated through MATLAB examples, guiding users from the basics to more advanced features. The book is particularly beneficial for juniors and seniors in mathematics, computer science, engineering, and physics, and offers valuable insights for intermediate and advanced users transitioning from earlier versions to MATLAB 7.4.
