A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) (Hardcover)

A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) By Richard A. Brualdi, Dragos Cvetkovic Cover Image
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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 combinatorial proof of the Jordan canonical form of a matrix. They also describe several applications of matrices in electrical engineering, physics, and chemistry.

Product Details
ISBN: 9781420082234
ISBN-10: 142008223X
Publisher: CRC Press
Publication Date: November 1st, 2008
Pages: 283
Language: English
Series: Discrete Mathematics and Its Applications


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