Skip to main content
SpringerLink
Log in

Linear Algebra

  • Book
  • © 2000

Overview

Authors:
  1. A. Ramachandra Rao

    1. Indian Statistical Institute, Calcutta, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. P. Bhimasankaram

    1. Indian Statistical Institute, Hyderabah, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 44.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Preliminaries

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 1-13

  3. Vector spaces

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 14-66

  4. Algebra of matrices

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 67-107

  5. Rank and inverse

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 108-156

  6. Elementary operations and reduced forms

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 157-184

  7. Linear equations

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 185-217

  8. Determinants

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 218-247

  9. Inner product and orthogonality

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 248-279

  10. Eigenvalues

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 280-327

  11. Quadratic forms

    • A. Ramachandra Rao, P. Bhimasankaram
    Pages 328-366

  12. Back Matter

    Pages 367-414
    Download chapter PDF
Back to top

About this book

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

  • Indian Statistical Institute, Calcutta, India

    A. Ramachandra Rao

  • Indian Statistical Institute, Hyderabah, India

    P. Bhimasankaram

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation