A combinatorial approach to matrix theory and its applications. (©2009)

• Record Type: Book
• Further Information: Note: Richard A. Brualdi, Dragoš Cvetković.
• Other Names: Brualdi, Richard A; Cvetković, Dragoš M
• Contents: Introduction ; Graphs; Digraphs; Some Classical Combinatorics; Fields; Vector Spaces; Basic Matrix Operations ; Basic Concepts; The König Digraph of a Matrix; Partitioned Matrices; Powers of Matrices ; Matrix Powers and Digraphs; Circulant Matrices; Permutations with Restrictions; Determinants ; Definition of the Determinant; Properties of Determinants; A Special Determinant Formula; Classical Definition of the Determinant; Laplace Development of the Determinant; Matrix Inverses ; Adjoint and Its Determinant; Inverse of a Square Matrix; Graph-Theoretic Interpretation; Systems of Linear Equations ; Solutions of Linear Systems; Cramer’s Formula; Solving Linear Systems by Digraphs; Signal Flow Digraphs of Linear Systems; Sparse Matrices; Spectrum of a Matrix ; Eigenvectors and Eigenvalues; The Cayley–Hamilton Theorem; Similar Matrices and the JCF; Spectrum of Circulants; Nonnegative Matrices ; Irreducible and Reducible Matrices; Primitive and Imprimitive Matrices; The Perron–Frobenius Theorem; Graph Spectra; Additional Topics ; Tensor and Hadamard Product; Eigenvalue Inclusion Regions; Permanent and Sign-Nonsingular Matrices; Applications ; Electrical Engineering: Flow Graphs; Physics: Vibration of a Membrane; Chemistry: Unsaturated Hydrocarbons; Exercises appear at the end of each chapter.
• Publisher Details: Boca Raton : Chapman & Hall/CRC Press
• Publication Date: 2009
• Copyright Date: 2009
• Extent: 1 online resource (xiii, 267 pages), illustrations
• Subjects: 512.9/434; Matrices; Combinatorial analysis; MATHEMATICS -- Matrices; Combinatorial analysis; Matrices; Electronic books
• Languages: English
• ISBNs: 9781420082241; 1420082248; 9781420082234; 1281863378; 9781281863379
• Related ISBNs: 142008223X
• Notes: Note: Includes bibliographical references (pages 253-260) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.