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Linear Algebra with Applications, Ninth Edition is designed for the introductory course in linear algebra for students within engineering, mathematics, business management, and physics. Updated to increase clarity and improve student learning, the author provides a flexible blend of theory and engaging applications.

The material in Linear Algebra with Applications, Ninth Edition is arranged into three parts that contain core and optional sections:

Part 1 introduces the basics, discussing systems of linear equations, vectors in Rn matrices, linear transformations, determinants, eigenvalues, and eigenspaces.

Part 2 builds on this material to discuss general vector spaces, and includes such topics as the rank/nullity theorem, inner products, and coordinate representation.

Part 3 completes the course with important ideas and methods in numerical linear algebra including ill-conditioning, pivoting, LU decomposition, and singular value decomposition.

Throughout the text the author provides interesting applications, ranging from theoretical applications such as the use of linear algebra in differential equations, to many practical applications in the fields of electrical engineering, traffic analysis, relativity, history, and more.

Key Features of the Ninth Edition

NEW simple-to-advanced organizational framework.

Interesting applications, both theoretical and practical, engage and challenge students Carefully explained and illustrated examples highlights key concepts throughout the text A MATLAB manual, included as an appendix, consists of 31 sections that tie into course material Available with WebAssign Online Homework and Assessment with integrated eBook.

Contents: Preface. I. Linear Equations, Vectors, and Matrices: 1. Linear Equations and Vectors. 2. Matrices and Linear Transformations. 3. Determinants and Eigenvectors. II. Vector Spaces: 4. General Vector Spaces. 5. Coordinate Representations. 6. Inner Product Spaces. III. Numerical Linear Algebra: 7. Numerical Methods. 8. Linear Programming. Appendices. Index.