Matrix Theory and Applications with MATLAB
eBook - ePub

Matrix Theory and Applications with MATLAB

  1. 384 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Matrix Theory and Applications with MATLAB

About this book

Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in the text. All of the material is presented from a matrix point of view with enough rigor for students to learn to compose arguments and proofs and adjust the material to cover other problems. The treatment includes optional subsections covering applications, and the final chapters move beyond basic matrix theory to discuss more advanced topics, such as decompositions, positive definite matrices, graphics, and topology. Filled with illustrations, examples, and exercises that reinforce understanding, Matrix Theory and Applications with MATLAB allows readers to experiment and visualize results in a way that no other text does. Its rigor, use of MATLAB, and focus on applications better prepares them to use the material in their future work and research, to extend the material, and perhaps obtain new results of their own.

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Yes, you can access Matrix Theory and Applications with MATLAB by Darald J. Hartfiel in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2017
Print ISBN
9780367413286
eBook ISBN
9781351990264

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Author’s Page
  7. 1 Review of Matrix Algebra
  8. 2 Introduction to Vector Spaces
  9. 3 Similarity
  10. 4 Matrix Calculus
  11. 5 Normed Vector Spaces
  12. 6 Unitary Similarity
  13. 7 Singular Value Decomposition
  14. 8 LU and QR Decompositions
  15. 9 Properties of Eigenvalues and Eigenvectors
  16. 10 Hermitian and Positive Definite Matrices
  17. 11 Graphics and Topology
  18. Appendix A: MATLAB
  19. Answers to Selected Exercises
  20. Bibliography