Lawrence E Spence,Arnold J Insel,Stephen H. Friedberg

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"

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."