000			01569nam a22001697a 4500
008			210805b2015 ||||| |||| 00| 0 eng d
020			_a9781470454661
082			_a512.5 SHA-H
100			_aShapiro, Helene
245			_aLinear algebra and matrices : _btopics for a second course / _cHelene Shapiro
260			_aUSA _bAmerican Mathematical Society _c2015
300			_a317 p.
365			_aINR _b1160.00.
500			_aLinear 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. Notable features include a discussion of the Weyr characteristic and Weyr canonical forms, and their relationship to the better-known Jordan canonical form; the use of block cyclic matrices and directed graphs to prove Frobenius’s theorem on the structure of the eigenvalues of a nonnegative, irreducible matrix; and the inclusion of such combinatorial topics as BIBDs, Hadamard matrices, and strongly regular graphs. Also included are McCoy’s theorem about matrices with property P, the Bruck–Ryser–Chowla theorem on the existence of block designs, and an introduction to Markov chains. This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results.
650			_aMatrices
650			_aAlgebras, Linear
999			_c67045 _d67045