By Fuzhen Zhang

The target of this booklet is to concisely current basic rules, effects, and strategies in linear algebra and as a rule matrix idea. The ebook includes ten chapters overlaying a number of subject matters starting from similarity and exact kinds of matrices to Schur enhances and matrix normality. each one bankruptcy specializes in the consequences, thoughts, and techniques which are attractive, fascinating, and consultant, via rigorously chosen difficulties.

Major adjustments during this revised and accelerated moment version:

-Expansion of subject matters resembling matrix capabilities, nonnegative matrices, and (unitarily invariant) matrix norms

-The inclusion of greater than one thousand exercises

-A new bankruptcy, bankruptcy four, with up to date fabric on numerical levels and radii, matrix norms, and specified operations corresponding to the Kronecker and Hadamard items and compound matrices

-A new bankruptcy, bankruptcy 10, on matrix inequalities, which offers quite a few inequalities at the eigenvalues and singular values of matrices and unitarily invariant norms.

This ebook can be utilized as a textbook or a complement for a linear algebra and matrix conception category or a seminar for senior undergraduate or graduate scholars. must haves comprise an honest history in straightforward linear algebra and calculus. The ebook may also function a reference for teachers and researchers within the fields of algebra, matrix research, operator idea, statistics, laptop technological know-how, engineering, operations study, economics, and different fields.

Fuzhen Zhang is a professor of arithmetic at Nova Southeastern collage, fortress Lauderdale, Florida. He acquired his Ph.D. in arithmetic from the collage of California at Santa Barbara, M.S. from Beijing general collage, and B.Sc. from Shenyang general collage (China). as well as learn papers, he's the writer of the book* Linear Algebra: demanding difficulties for Students* and the editor of *The Schur supplement and Its Applications*.