A Combinatorial Approach to Matrix Theory and Its Applications |
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Author:
| Brualdi, Richard A. Cvetkovic, Dragos |
Series title: | Discrete Mathematics and Its Applications Ser. |
ISBN: | 978-1-4200-8224-1 |
Publication Date: | Aug 2008 |
Publisher: | CRC Press LLC
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Imprint: | Chapman & Hall/CRC |
Book Format: | Digital (delivered electronically) |
List Price: | USD $66.99USD $200.00USD $270.00 |
Book Description:
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Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. It 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. The authors provide a combinatorial argument for the classical...
More DescriptionPlacing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. It 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. The authors provide a combinatorial argument for the classical Cayley-Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix. They also describe several applications of matrices in electrical engineering, physics, and chemistry.