Summary: Linear algebra is relatively easy for students when the material is presented in a familiar, concrete setting, but it becomes much more difficult when abstract concepts are introduced. Certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood but are fundamental to the study of linear algebra. The author introduces these concepts early in a familiar, concrete Rn setting, develops ...show morethem gradually, and returns to them again and again throughout the text. Finally, when discussed in the abstract, these concepts more accessible and student understanding is reinforced through True-or-False questions, practice problems, and the use of technologies, such as MATLAB, for solving large matrix exercises. FEATURES: Edition/Copyright: 2ND 97
- Technology exercises, using real-data sets and citing sources, provide realistic exercises designed to be completed with technology.
- True-or-False questions in the exercise sets encourage critical thinking and discussion.
- To enhance clarity, 25 percent of the art has been revised.
- This edition includes new and revised Numerical Notes, some of which address MAPLE.
- Chapters 1 and 2 of the first edition were combined and streamlined to allow for a smoother entry into the course.
- Early coverage of Subspaces of Rn in new Section 2.9 lets users skip the bulk of material in Chapters 3 and 4 and go straight to the Eigenvalue section in Chapter 5. Those teaching a standard-paced course would cover Chapters 2, 3, and 4, skipping 2.9.
- LU Factorization coverage is emphasized.
- Difference equations, particularly important to a junior-level course, have been added to Chapter 6.
- This text includes such up-to-date topics as difference equations (dynamical systems); LU and QR factorizations; and spectoral decomposition.
- The Application section at the end of each chapter provide a broad selection of applications from engineering, physics, computer science, mathematics, economics, and statistics.
- Practice Problems & Answers, unique to this text, focus on points that may cause students difficulty. They are placed before the section exercise sets as a warmup; answers follow the exercise sets.
- The Supplemental Exercises following each chapter include theoretical and proof-oriented multiconcept stretch exercises and writing exercises that require written justification of a true-or-false answer.
- A glossary of key terms is included.
- Numerical Notes, designed to make the reader more computer-aware, are given throughout the text, indicating technology-related issues that deserve further study.
Publisher: Addison-Wesley Longman, Inc.