Solutions for Elementary Linear Algebra: A Matrix Approach
Browse All Chapters of This Textbook
Chapter 1 - Matrices, Vectors, And Systems Of Linear EquationsChapter 1.1 - Matrices And VectorsChapter 1.2 - Linear Combinations, Matrix—vector Products, And Special MatricesChapter 1.3 - Systems Of Linear EquationsChapter 1.4 - Gaussian EliminationChapter 1.5 - Applications Of Systems Of Linear EquationsChapter 1.6 - The Span Of A Set Of VectorsChapter 1.7 - Linear Dependence And Linear IndependenceChapter 2 - Matrices And Linear TransformationsChapter 2.1 - Matrix Multiplication
Chapter 2.2 - Applications Of Matrix MultiplicationChapter 2.3 - Invertibility And Elementary MatricesChapter 2.4 - The Inverse Of A MatrixChapter 2.5 - Partitioned Matrices And Block MultiplicationChapter 2.6 - The Lu Decomposition Of A MatrixChapter 2.7 - Linear Transformations And MatricesChapter 2.8 - Composition And Invertibility Of Linear TransformationsChapter 3.1 - Cofactor ExpansionChapter 3.2 - Properties Of Determinants
Book Details
For a sophomore-level course in Linear Algebra.
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
- 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
- All computational exercises are designed so that the calculations involve “nice” numbers.
- 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.
- Each chapter ends with a set of review exercises that provide practice with all the main topics of each chapter.
- For a proof-oriented course, the authors have included a significant number of accessible exercises requiring proofs. They are ordered according to difficulty.
- 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
- The authors have added an appendix providing an introduction to MATLAB.
Sample Solutions for this Textbook
We offer sample solutions for Elementary Linear Algebra: A Matrix Approach homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Elementary Linear Algebra: A Matrix Approach
0 Edition
ISBN: 9780137167227
Elementary Linear Algebra with Student Solution Manual (2nd Edition)
2nd Edition
ISBN: 9780131353978
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
2nd Edition
ISBN: 9780134689470
Student Solution Manual for Elementary Linear Algebra
2nd Edition
ISBN: 9780132397346
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