Linear Algebra

  • A. Ramachandra Rao
  • P. Bhimasankaram

Part of the Texts and Readings in Mathematics book series (TRIM, volume 19)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. A. Ramachandra Rao, P. Bhimasankaram
    Pages 1-13
  3. A. Ramachandra Rao, P. Bhimasankaram
    Pages 14-66
  4. A. Ramachandra Rao, P. Bhimasankaram
    Pages 67-107
  5. A. Ramachandra Rao, P. Bhimasankaram
    Pages 108-156
  6. A. Ramachandra Rao, P. Bhimasankaram
    Pages 157-184
  7. A. Ramachandra Rao, P. Bhimasankaram
    Pages 185-217
  8. A. Ramachandra Rao, P. Bhimasankaram
    Pages 218-247
  9. A. Ramachandra Rao, P. Bhimasankaram
    Pages 248-279
  10. A. Ramachandra Rao, P. Bhimasankaram
    Pages 280-327
  11. A. Ramachandra Rao, P. Bhimasankaram
    Pages 328-366
  12. Back Matter
    Pages 367-414

About this book

Introduction

The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C.R. Rao and S.K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques.

Authors and affiliations

  • A. Ramachandra Rao
    • 1
  • P. Bhimasankaram
    • 2
  1. 1.Indian Statistical InstituteCalcuttaIndia
  2. 2.Indian Statistical InstituteHyderabahIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-93-86279-01-9
  • Copyright Information Hindustan Book Agency (India) 2000
  • Publisher Name Hindustan Book Agency, Gurgaon
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-81-85931-26-5
  • Online ISBN 978-93-86279-01-9
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • About this book
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