Fundamentals of Matrix Analysis with ApplicationsAn accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features:
Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible goto reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.

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Contents
PREFACE  1 
Matrix Algebra  58 
THE STRUCTURE OF GENERAL  129 
Orthogonality  165 
REFLECT ON THIS  205 
Similarity  233 
CONTENTS  293 
ANSWERS TO ODD NUMBERED EXERCISES  383 
Other editions  View all
Fundamentals of Matrix Analysis with Applications Edward Barry Saff,Arthur David Snider Limited preview  2015 
Fundamentals of Matrix Analysis with Applications Edward Barry Saff,Arthur David Snider Limited preview  2015 