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.
- ISBN13 9788185931265
- Publish Date 15 May 2000
- Publish Status Out of Print
- Out of Print 10 August 2010
- Publish Country IN
- Imprint Hindustan Book Agency
- Edition 2nd Revised edition
- Format Hardcover
- Pages 428
- Language English