Linear Algebra: With Applications, Sixth Edition is designed for the introductory course in linear algebra. The Sixth Edition is reorganized and arranged into three natural parts that improve the flow of the material: Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector space, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. New applications include discussions of linear algebra in the operation of the search engine Google and in the global structure of the worldwide air transportation network. Clear, concise, comprehensive – Linear Algebra with Applications, Sixth Edition continues to educate and enlighten students, leading to a mastery of the mathematics and an understanding of how to apply it.

• • Presents an early introduction of concepts, such as linear combinations, closure, basis, and dimension. • Provides students with a flexible blend of theory, important numerical techniques, and interesting new applications. • Technology Option – A MATLAB manual is included as an appendix. The manual consists of 29 sections that the tie into the regular course material. A graphing calculator manual is also included. NEW TO THIS EDITION: • New 4-color design and expanded trim size, for clarity of reading.

Preface / PART-1 LINEAR EQUATIONS, VECTORS AND MATRICES – Linear Equations and Vectors / Matrices and Linear Transformations / Determinants and Eigenvectors / PART-2 VECTOR SPACES – General Vector Spaces / Coordinate Representations / Inner Product Spaces / PART-3 NUMERICAL LINEAR ALGEBRA – Numerical Methods / Linear Programming / Appendices: Cross Product / Equations of Planes and Lines in Three-Space / Graphing Calculator Manual / MATLAB Manual / Answers to Selected Exercises / Index.

All Undergraduate Students