The Matrix Explained
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Matrix Analysis
Author: Roger A. Horn
language: en
Publisher: Cambridge University Press
Release Date: 2012-10-22
Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a text for a second course on linear algebra and has more than 1,100 problems and exercises, new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices, and much more.
Basic Matrix Analysis and Synthesis
Electronics and Instrumentation, Volume 36: Basic Matrix Analysis and Synthesis presents the application of matrix methods to practical electronics problems. This book focuses on transistor applications. Organized into three parts, this volume begins with an overview of the fundamental theory of twoports and explains the mechanisms of matrix and determinant operations with applications to the study of twoport networks, both active and passive. This text then explains the concept of impedance transformation and image matching in the different matrix domains. This book presents as well the analysis and synthesis of active networks. The final part deals with the mathematical model concepts of transistors and vacuum tubes that are freely applied to a wide range of problems with an emphasis on practical applications such as conventional amplifiers, single-, and multi-stage transistor feedback amplifiers and oscillators. This book is a valuable resource for electronics engineers as well as for students with some grounding in mathematics and network theory.
Matrix Analysis and Applied Linear Algebra
This second edition has been almost completely rewritten to create a textbook designed so instructors can determine the degree of rigor and flexible enough for a one- or two-semester course. The author achieves this by increasing the level of sophistication as the text proceeds from traditional first principles in the early chapters to theory and applications in the later ones, and by ensuring that material at any point is not dependent on subsequent developments. While theorems and proofs are highlighted, the emphasis is on applications. The author provides carefully constructed exercises ranging from easy to moderately challenging to difficult, many of which condition students for topics that follow. An accompanying book, Matrix Analysis and Applied Linear Algebra, Second Edition, Study and Solutions Guide, contains complete solutions and discussions of each exercise; and historical remarks that focus on the personalities of the individuals who created and contributed to the subject's development. This book is designed for use in either a one- or two-term linear algebra course. It can also serve as a reference to anyone who needs to use or apply linear algebra.