Linear transformation: examples and solutions
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 sch…
Read More ↓Title Statements
- Full title :Linear transformation : examples and solutions / Nita H. Shah and Urmila B. Chaudhari.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2021.
- Edition:First edition
Publication Statements
- Publisher(s):CRC Press (Taylor and Francis Group)
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:2021.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781003105206, 1003105203, 9781000337426, 1000337421, 9781000337433, 100033743X, 9781000337440, 1000337448
- oclc:on1193559287
- LC Classification:QA184.5
- Dewey Decimal:512/.5
Table of Contents
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 On…
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