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## Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)"Unlike most elementary books on matrices, ## $73.75 |

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Please contact us if you've got questions about this product.## Condition

**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.

## Description

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 chemstry.”

**BRIEF CONTENTS**

- Preface
- Dedication
- 1. Introduction
- 2. Basic Matrix Operations
- 3. Powers of Matrices
- 4. Determinants
- 5. Matrix Inverses
- 6. Systems of Linear Equations
- 7. Spectrum of a Matrix
- 8. Nonnegative Matrices
- 9. Additional Topics
- 10. Applications
- Code
- Answers and Hints
- Bibliography
- Index

## Details

- SKU:
- 1914
- Author:
- Brualdi, Richard A. and Gragos Cvetkovic
- Publisher:
- Chapman & Hall/CRC Press
- Publish Date:
- 2009
- Format:
- Hardcover
- Weight (pounds):
- 1.37
- Dimensions (W”xL”xH”):
- 6.4″x9.5″x0.9″
- ISBN-13:
- 9781420082234
- ISBN-10:
- 142008223X
- Series:
- Discrete Mathematics and Its Applications

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