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A Combinatorial Approach to Matrix Theory and Its Applications

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A Combinatorial Approach to Matrix Theory and Its Applications - Brualdi, Richard A, and Cvetkovic, Dragos
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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 Cayley-Hamilton theorem and a ...

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A Combinatorial Approach to Matrix Theory and Its Applications 2008, CRC Press, Oxford

ISBN-13: 9781420082234

Hardcover