Linear Algebra with Applications, Sixth Edition is designed for the introductory course in linear algebra typically offered at the sophomore level. The new Sixth Edition is reorganized and arranged into three important parts. Part 1 introduces the basics, presenting the systems of linear equations, vectors in Rn, matrices, linear transformations, and determinants. Part 2 builds on this material to discuss general vector spaces, such as spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods in Numerical Linear Algebra, such as ill-conditioning, pivoting, and the LU decomposition. New applications include the role of linear algebra in the operation of the search engine Google and the global structure of the worldwide air transportation network have been added as a means of presenting real-world scenarios of the many functions of linear algebra in modern technology. Clear, Concise, Comprehensive - Linear Algebra with Applications, Sixth Edition continues to educate and enlighten students, providing a broad exposure to the many facets of the field.