04998cam a22006018i 4500 9781003105206 FlBoTFG 20260210180744.0 m o d cr ||||||||||| 200901s2021 flu ob 001 0 eng OCoLC-P eng rda OCoLC-P 9781003105206 (ebook) 1003105203 9781000337426 (electronic bk. : PDF) 1000337421 (electronic bk. : PDF) 9781000337433 (electronic bk. : Mobipocket) 100033743X (electronic bk. : Mobipocket) 9781000337440 (electronic bk. : EPUB) 1000337448 (electronic bk. : EPUB) 9780367613259 (hardback) (OCoLC)1193559287 (OCoLC)1202884338 (OCoLC)1225556377 (OCoLC-P)1193559287 QA184.5 MAT 003000 bisacsh TEC 029000 bisacsh BUS 049000 bisacsh TBC bicssc 512/.5 23 Shah, Nita H., author. Linear transformation : examples and solutions / Nita H. Shah and Urmila B. Chaudhari. First edition. Boca Raton : CRC Press, 2021. ©2021 1 online resource (xi, 77 pages) text txt rdacontent computer n rdamedia online resource nc rdacarrier Mathematical engineering, manufacturing, and management sciences This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices. Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Acknowledgements -- Authors -- Chapter 1 Linear Transformations of Euclidean Vector Space -- 1.1 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.1.1 Transformations from R[sup(n)] to R[sup(m)] -- 1.1.2 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.2 Matrix Representation of Linear Transformations -- 1.3 Different Types of Operators and their Composition -- 1.3.1 Reflection Operator -- 1.3.2 Orthogonal Projection Operator -- 1.3.3 Rotation Operator 1.3.4 Contraction and Dilation Operators -- 1.3.5 Shear Operator -- 1.4 Composition of Two or More Transformations -- Exercise Set 1 -- Answers to Exercise Set 1 -- Chapter 2 General Linear Transformations -- 2.1 Introduction of General Linear Transformations -- 2.1.1 Properties of Linear Transformations -- 2.2 Forming a Linear Transformation -- 2.2.1 Obtaining Linear Transformations from Basis Vectors and their Image Vectors -- 2.3 Kernel and Range of Linear Transformation T -- 2.4 Composition of the Linear Transformation -- Exercise Set 2 -- Answers to Exercise Set 2 Chapter 3 Inverse Linear Transformation -- 3.1 One-One Transformation -- 3.1.1 Some Important Results -- 3.2 Onto Transformation -- 3.3 Isomorphism -- 3.4 Inverse Linear Transformation -- Exercise Set 3 -- Answers to Exercise Set 3 -- Chapter 4 Matrices of General Linear Transformations -- 4.1 Matrix of General Transformations -- 4.2 Similarity -- 4.2.1 Effect of Changing Bases on Matrices of Linear Operators -- Exercise Set 4 -- Answers to Exercise Set 4 -- Multiple-Choice Questions on Linear Transformation -- Bibliography -- Index OCLC-licensed vendor bibliographic record. Algebras, Linear Problems, exercises, etc. Linear operators. MATHEMATICS / Applied bisacsh TECHNOLOGY / Operations Research bisacsh BUSINESS & ECONOMICS / Operations Research bisacsh Chaudhari, Urmila B., author. Taylor & Francis https://www.taylorfrancis.com/books/9781003105206 OCLC metadata license agreement http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf 90292 90291