rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Linear transformation
    sub title: examples and solutions
  title info:
    title: MATHnetBASE
  name:
    name part: Shah, Nita H.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Chaudhari, Urmila B.
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 77 pages)
  abstract: 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.
  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
  table of contents: 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
  table of contents: 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
  note: Nita H. Shah and Urmila B. Chaudhari.
  subject:
    topic: Algebras, Linear
    genre: Problems, exercises, etc
  subject:
    topic: Linear operators
  subject:
    topic: MATHEMATICS / Applied
  subject:
    topic: TECHNOLOGY / Operations Research
  subject:
    topic: BUSINESS & ECONOMICS / Operations Research
  classification: QA184.5
  classification: 512/.5
  identifier: 9781003105206
  identifier: 1003105203
  identifier: 9781000337426
  identifier: 1000337421
  identifier: 9781000337433
  identifier: 100033743X
  identifier: 9781000337440
  identifier: 1000337448
  identifier: 9780367613259
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 200901
    record change date: 20220613175646.2
    record identifier: in00004580573
    language of cataloging:
      language term: eng