VERY GOOD: The book is in excellent condition. The pages are clean, the binding is still like-new tight, and the covers are in very good condition except for a slight "ding" in the upper spine. It is printed on acid-free paper.
Product Details
From the back cover: "The book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix as well as examine the important properties of nonnegative matrices that are part of the Perron-Frobenius theory. The final chapter presents applications to electrical engineering, physics, and chemistry.
"Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its applications to scientific areas.
"Features:
Places combinatorial and graph-theoretical tools at the forefront of the development of matrix theory
Fosters a better understanding of matrix theory by using graphs to explain basic matrix construction, formulas, computations, ideas, and results
Presents material rarely found in other books at this level, including Gersgorin's theorem and its extensions, the Kronecker product of matrices, sign-nonsingular matrices, and the evaluation of the permanent matrix
Includes a combinatorial argument for the classical Cayley-Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix
Describes several applications of matrices in electrical engineering, physics, and chemistry."
