eBook - ePub

A Combinatorial Approach to Matrix Theory and Its Applications

Name: A Combinatorial Approach to Matrix Theory and Its Applications
ISBN: 9781040208649

Richard A. Brualdi,

Dragos Cvetkovic,

English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

A Combinatorial Approach to Matrix Theory and Its Applications

Richard A. Brualdi,

Dragos Cvetkovic,

About this book

Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. 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.

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Yes, you can access A Combinatorial Approach to Matrix Theory and Its Applications by Richard A. Brualdi,Dragos Cvetkovic in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.