Revised and edited, Linear Algebra with Applications, Seventh Edition is designed For The introductory course in linear algebra and is organized into 3 natural parts.  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 spaces, 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.  Offering 28 core sections, The Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors.Learn more about Gareth Williams' Linear Algebra with Applications, Alternate Seventh Edition.