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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 CayleyHamilton Theorem Similar Matrices and the JCF Spectrum of Circulants
Nonnegative Matrices
Irreducible and Reducible Matrices Primitive and Imprimitive Matrices The PerronFrobenius 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.
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Add A Combinatorial Approach to Matrix Theory and It's Applications, 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 th, A Combinatorial Approach to Matrix Theory and It's Applications to the inventory that you are selling on WonderClubX
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Add A Combinatorial Approach to Matrix Theory and It's Applications, 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 th, A Combinatorial Approach to Matrix Theory and It's Applications to your collection on WonderClub |