Elementary Linear Algebra with Applications 9e

For introductory sophomore-level courses in Linear Algebra or Matrix Theory. This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.Strong pedagogical framework. Provides students with a strong understanding by gradually introducing topics that connect abstract ideas to concrete foundations.General level of applications-Presents applications that are suited to a more general audience, rather than for a strongly science-oriented one. Enables instructors to use this text for a greater variety of class levels.Comprehensive supplements-Includes a Student Solutions Manual, an Instructor's Solutions Manual, and a Companion Website. Gives both students and instructors valuable course support.Matrix multiplication in a separate section. Gives students more careful coverage of this topic.Matrix Transformations . Introduces geometric applications at a very early stage.Computer Graphics -Gives an application of matrix transformations. Gives students this application earlier, illustrating the concept more fully.Extends and generalizes for students the concepts of computer graphics.Correlation Coefficient -Gives an application of dot product to statistics in a new section. Search engines-Includes Section 7.9, Dominant Eigenvalue and Principal Component Analysis, and includes several applications of this material. Discusses for students the popular search engine Google®, and how it uses the dominant eigenvalue of an enormously large matrix to search the web.Eigenvalue development includes the complex case. Provides a more unified approach.Appendix on an introduction to proofs. Eases students into the abstract aspects of linear algebra.MATLAB M-files. Gives students the more modern versions of these files.Key terms listed at the end of each section. Chapter review at the end of each chapter-Includes review True/False questions and Chapter Quiz. Answers to odd-numbered exercises-Available in a section at the back of the text. Enables instructors to use text exercises as graded homework assignments.