This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

1. Linear Systems of Equations.- 2. Matrix Algebra.- 3. Vector Spaces.- 4. Geometrical Aspects of Standard Spaces.- 5. The Eigenvalue Problem.- 6. Geometrical Aspects of Abstract Spaces.

Thomas S. Shores is Professor Emeritus of Mathematics at the University of Nebraska-Lincoln, where he has received awards for his teaching. His research touches on group theory, commutative algebra, mathematical modeling, numerical analysis, and inverse theory.