*Mathematics | Program Guide: Linear Algebra

Linear algebra is a prerequisite for students majoring in mathematics and is required of many undergraduate and first-year graduate students in statistics, engineering, and related areas. This fully updated and revised text defines the discipline's main terms, explains its key theorems, and provides over 425 example problems ranging from the elementary to some that may baffle even the most seasoned mathematicians. Vital concepts are highlighted at the beginning of each chapter and a final section contains hints for solving the problems as well as solutions to each example. Based on Fuzhen Zhang's experience teaching and researching algebra over the past two decades, Linear Algebra is the perfect examination study tool. Students in beginning and seminar-type advanced linear algebra classes and those seeking to brush up on the topic will find Zhang's plain discussions of the subject's theories refreshing and the problems diverse, interesting, and challenging.

The book is aimed at advanced undergraduate and first-year graduate masters students taking courses in linear algebra, linear models, multivariate analysis, and design of experiments. It should also be of use to research mathematicians and statisticians as a source of standard results and problems.

This fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications helps students to see how linear algebra can be applied to real-life situations. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided.