INTRO MATRIX THEORY (2ND ED)

Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.

This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.

The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.

Contents:

• Vectors and Matrices
• Vector Spaces and Inner-Product Spaces
• Systems of Linear Equations, and Inverses of Matrices
• Determinants
• Linear Mappings and Matrices
• Eigenvalues, Invariant Subspaces, Canonical Forms
• Special Matrices
• Elements of Matrix Analysis

Readership: Written primarily for undergraduate and graduate students studying engineering, economics and business; can also be used in courses offered by the mathematics department, or by any kind of engineering and social sciences; can also be used by researchers in mathematics, economics, engineering; in addition, high school special courses, and teacher training courses can employ this textbook.

Key Features:

• Practical approach to linear algebra with demonstrative examples and cases
• Easily digestible examples from economics and engineering
• Clear and concise structure
• New theoretical topics and applications from fields other than economics
• More difficult exercises which require deep understanding of the theoretical issues
• Some modernized proofs which give better overview of the study material