Bookstore

For courses in linear algebra. With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Linear Algebra and Its Applications, Global Edition

• Title Page


• Copyright Page


• About the Author


• Contents


• Preface


• Acknowledgments


• A Note to Students


• Chapter 1 Linear Equations in Linear Algebra


• INTRODUCTORY EXAMPLE: Linear Models in Economics and Engineering


• 1.1 Systems of Linear Equations


• 1.2 Row Reduction and Echelon Forms


• 1.3 Vector Equations


• 1.4 The Matrix Equation Ax = b


• 1.5 Solution Sets of Linear Systems


• 1.6 Applications of Linear Systems


• 1.7 Linear Independence


• 1.8 Introduction to Linear Transformations


• 1.9 The Matrix of a Linear Transformation


• 1.10 Linear Models in Business, Science, and Engineering


• Supplementary Exercises


• Chapter 2 Matrix Algebra


• INTRODUCTORY EXAMPLE: Computer Models in Aircraft Design


• 2.1 Matrix Operations


• 2.2 The Inverse of a Matrix


• 2.3 Characterizations of Invertible Matrices


• 2.4 Partitioned Matrices


• 2.5 Matrix Factorizations


• 2.6 The Leontief Input?Output Model


• 2.7 Applications to Computer Graphics


• 2.8 Subspaces of Rn


• 2.9 Dimension and Rank


• Supplementary Exercises


• Chapter 3 Determinants


• INTRODUCTORY EXAMPLE: Random Paths and Distortion


• 3.1 Introduction to Determinants


• 3.2 Properties of Determinants


• 3.3 Cramer?s Rule, Volume, and Linear Transformations


• Supplementary Exercises


• Chapter 4 Vector Spaces


• INTRODUCTORY EXAMPLE: Space Flight and Control Systems


• 4.1 Vector Spaces and Subspaces


• 4.2 Null Spaces, Column Spaces, and Linear Transformations


• 4.3 Linearly Independent Sets; Bases


• 4.4 Coordinate Systems


• 4.5 The Dimension of a Vector Space


• 4.6 Rank