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.
After reviewing the basics of graph theory, elemen
Introduction. Basic Matrix Operations. Powers of Matrices. Determinants. Matrix Inverses. Systems of Linear Equations. Spectrum of a Matrix. Nonnegative Matrices. Additional Topics. Applications.