Linear algebra

Includes bibliographical references (page 165) and index.

This book has evolved from our experience over several years teaching linear algebra to mixed audiences of upper division mathematics majors, beginning graduate students, and students from the fields of science and engineering that rely heavily on mathematical methods.
By design, each chapter consists of two parts: the theoretical background and the applications. The book is suitable for a one semester course in linear algebra and can be used in a variety of contexts. For an audience composed primarily of undergraduate mathematics ma jors, the material on the theories of abstract vector spaces, linear transformations, linear operators, orthogonal bases, and decomposition over rings can be covered in depth. For an applied mathematics course with science and engineering students, the material on applications of these areas, such as linear codes, affine or projective transformations, geometry of transformation, matrix in graph theory, image processing, and QR decomposition can be treated with more emphasis.
This book should be thought of as an introduction to more advanced texts and research topics. The novelty of this book, we hope, is that the material presented here is a unique combination of the essential theory of linear algebra and computational methods in a variety of applications.