Normal view MARC view ISBD view

Shapiro, Helene,

Linear algebra and matrices : topics for a second course / Helene Shapiro - Providence, Rhode Island : American Mathematical Society, ©2015 - xv, 317 pages ; 26 cm - Pure and applied undergraduate texts, 24.; Sally series (Providence, R.I.) .

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

ISBN: 9781470454661

Publisher. No.: Donated by Mathematical Dept.

Subjects--Topical Terms:
Mathematics
Algebras, Linear
Matrices
Algebras, Linear.
Multilineare Algebra
Combinatorics -- Instructional exposition (textbooks, tutorial papers,
Lineare Algebra

Dewey Class. No.: 512.5 SHA