Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces.
Features
1. Examples in book are accompanied by similar practice problems that enable students to test their understanding of the material Complete solutions to the practice problems are included with the text
2. All computational exercises are designed so that the calculations involve “nice” numbers.
3. Most sections include approximately twenty true/false exercises designed to test a students understanding of the conceptual ideas in each section. (Answers to every true/false are given in the book.
4. Each chapter ends with a set of review exercises that provide practice with all the main topics of each chapter.
5. For a proof-oriented course, the authors have included a significant number of accessible exercises requiring proofs. They are ordered according to difficulty.
6. Book includes wide variety of applications such as:
• Economics (the Leontief input-output model
• Electrical networks (current flow through an electrical network)
• Population change (the Leslie matrix)
• Traffic flow
• Scheduling
• Google searches.
About the Author
Lawrence E Spence,Arnold J Insel,Stephen H. Friedberg
Table of Contents:
CHAPTER 1 MATRICES, VECTORS, AND SYSTEMS OF LINEAR EQUATIONS
CHAPTER 2 MATRICES AND LINEAR TRANSFORMATIONS
CHAPTER 3 DETERMINANTS
CHAPTER 4 SUBSPACES AND THEIR PROPERTIES
CHAPTER 5 EIGENVALUES, EIGENVECTORS, AND DIAGONALIZATION
CHAPTER 6 ORTHOGONALITY
CHAPTER 7 VECTOR SPACES
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