Overview
- Authors:
-
-
A. Ramachandra Rao
-
Indian Statistical Institute, Calcutta, India
-
P. Bhimasankaram
-
Indian Statistical Institute, Hyderabah, India
Access this book
Other ways to access
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.
Similar content being viewed by others
Table of contents (10 chapters)
-
Front Matter
Pages i-xiii
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 1-13
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 14-66
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 67-107
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 108-156
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 157-184
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 185-217
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 218-247
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 248-279
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 280-327
-
- A. Ramachandra Rao, P. Bhimasankaram
Pages 328-366
-
Back Matter
Pages 367-414
Authors and Affiliations
-
Indian Statistical Institute, Calcutta, India
A. Ramachandra Rao
-
Indian Statistical Institute, Hyderabah, India
P. Bhimasankaram