Advanced Linear Algebra for Engineers with MATLAB
eBook - ePub

Advanced Linear Algebra for Engineers with MATLAB

  1. 346 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Advanced Linear Algebra for Engineers with MATLAB

Book details
Table of contents
Citations

About This Book

Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLABĀ® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences.

Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book:



  • Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications


  • Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems


  • Presents special matrices, linear vector spaces, and fundamental principles of orthogonality, using an appropriate blend of abstract and concrete examples and then discussing associated applications to enhance readers' visualization of presented concepts


  • Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition


  • Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester's expansion and Cayley-Hamilton


  • Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation


  • Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques


  • Offers a rich selection of exercises and MATLABĀ® assignments that build a platform to enhance readers' understanding of the material

Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable reference that they will continually consult.

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Yes, you can access Advanced Linear Algebra for Engineers with MATLAB by Sohail A. Dianat, Eli Saber in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2017
ISBN
9781351834377
Edition
1

Table of contents

  1. Cover Page
  2. Half title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Contents
  7. Preface
  8. Authors
  9. 1 Matrices, Matrix Algebra, and Elementary Matrix Operations
  10. 2 Determinants, Matrix Inversion and Solutions to Systems of Linear Equations
  11. 3 Linear Vector Spaces
  12. 4 Eigenvalues and Eigenvectors
  13. 5 Matrix Polynomials and Functions of Square Matrices
  14. 6 Introduction to Optimization
  15. Appendix A: The Laplace Transform
  16. Appendix B: The z-Transform
  17. Bibliography
  18. Index
  19. Color Figure