: topics for a second course Shapiro, Helene creator Shapiro, Helene text Providence, Rhode Island : American Mathematical Society ©2015 monographic eng

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xv, 317 pages ; 26 cm 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 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 / Helene Shapiro Mathematics Algebras, Linear Matrices Algebras, Linear Multilineare Algebra Combinatorics -- Instructional exposition (textbooks, tutorial papers Lineare Algebra 512.5 SHA 9781470454661 :Donated by Mathematical Dept. 191021 20191021130042.0