TY - BOOK AU - Shapiro, Helene, AU - Shapiro, Helene, TI - Linear algebra and matrices : : topics for a second course T2 - Pure and applied undergraduate texts, 24.; Sally series (Providence, R.I.) SN - 9781470454661 U1 - 512.5 SHA PY - 2015/// CY - Providence, Rhode Island PB - : American Mathematical Society KW - Mathematics KW - Algebras, Linear KW - Matrices KW - Multilineare Algebra KW - Combinatorics -- Instructional exposition (textbooks, tutorial papers KW - Lineare Algebra N1 - 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 N2 - 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 ER -