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Introduction to Matrix Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Matrix Theory/ by Arindama Singh.
作者:	Singh, Arindama.
面頁冊數:	IX, 194 p. 2 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	https://doi.org/10.1007/978-3-030-80481-7
ISBN:	9783030804817

Introduction to Matrix Theory
Singh, Arindama.

Introduction to Matrix Theory[electronic resource] /by Arindama Singh. - 1st ed. 2021. - IX, 194 p. 2 illus., 1 illus. in color.online resource.

Matrix Operations -- Systems of Linear Equations -- Matrix as a Linear Map -- Orthogonality -- Eigenvalues and Eigenvectors -- Canonical Forms -- Norms of Matrices -- Short Bibliography -- Index.

This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses.

ISBN: 9783030804817

Standard No.: 10.1007/978-3-030-80481-7doiSubjects--Topical Terms:

786661
Mathematical Physics.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Introduction to Matrix Theory
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