Publisher:

Chapman & Hall/CRC

Number of Pages:

267

Price:

89.95

ISBN:

9781420082234

Date Received:

Thursday, September 4, 2008

Reviewable:

No

Reviewer Email Address:

Series:

Discrete Mathematics and Its Applications 52

Publication Date:

2008

Format:

Hardcover

Audience:

Category:

Textbook

Digraphs

Some Classical Combinatorics

Fields

Vector Spaces

Basic Concepts

The König Digraph of a Matrix

Partitioned Matrices

Matrix Powers and Digraphs

Circulant Matrices

Permutations with Restrictions

Definition of the Determinant

Properties of Determinants

A Special Determinant Formula

Classical Definition of the Determinant

Laplace Development of the Determinant

Adjoint and Its Determinant

Inverse of a Square Matrix

Graph-Theoretic Interpretation

Solutions of Linear Systems

Cramer’s Formula

Solving Linear Systems by Digraphs

Signal Flow Digraphs of Linear Systems

Sparse Matrices

Eigenvectors and Eigenvalues

The Cayley–Hamilton Theorem

Similar Matrices and the JCF

Spectrum of Circulants

Irreducible and Reducible Matrices

Primitive and Imprimitive Matrices

The Perron–Frobenius Theorem

Graph Spectra

Tensor and Hadamard Product

Eigenvalue Inclusion Regions

Permanent and Sign-Nonsingular Matrices

Electrical Engineering: Flow Graphs

Physics: Vibration of a Membrane

Chemistry: Unsaturated Hydrocarbons

Publish Book:

Modify Date:

Thursday, February 24, 2011

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