- 256 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Basic Matrix Theory
About This Book
Written as a guide to using matrices as a mathematical tool, this text is geared toward physical and social scientists, engineers, economists, and others who require a model for procedure rather than an exposition of theory. Knowledge of elementary algebra is the only mathematical prerequisite. Detailed numerical examples illustrate the treatment's focus on computational methods.
The first four chapters outline the basic concepts of matrix theory. Topics include the development of the concept of elementary operations and a systematic procedure for simplifying matrices as well as a method for evaluating the determinant of a given square matrix. Subsequent chapters explore important numerical procedures, including the process for approximating characteristic roots and vectors plus direct and iterative methods for inverting matrices and solving systems of equations. Solutions to the problems are included.
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Table of contents
- Cover
- Title Page
- Copyright Page
- Preface
- Contents
- 1. Basic Properties of Matrices
- 2. Elementary Matrix Operations
- 3. Vector Spaces and Linear Transformations
- 4. Determinants
- 5. Characteristic Roots and Vectors
- 6. Inversion of Matrices
- 7. Inversion of Matrices by Iteration
- 8. Homogeneous Forms
- Bibliography
- Answers to Problems
- Index