PreliminariesInner product spaces and orthogonalityEigenvalues, eigenvectors, diagonalization, and triangularizationThe Jordan and Weyr canonical formsUnitary similarity and normal matricesHermitian matricesVector and matrix normsSome matrix factorizationsField of valuesSimultaneous triangularizationCirculant and block cycle matricesMatrices of zeros and onesBlock designsHadamard matricesGraphsDirected graphsNonnegative matricesError correcting codesLinear dynamical systemsBibliographyIndex

Linear algebra and matrix theory are fundamental tools for almost every area of mathematics, both pure and applied. This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role, for example, block designs, directed graphs, error correcting codes, and linear dynamical systems