TY  - BOOK
AU  - Rao,A.Ramachandra
AU  - Bhimasankaram,P.
TI  - Linear algebra
SN  - 0074604767
U1  - 512.5 23
PY  - 1992///
CY  - New Delhi
PB  - Tata McGraw-Hill
KW  - Linear Algebra
N1  - Includes bibliography and index; Preliminaries -- Vector spaces -- Algebra of matrices -- Rank and inverse -- Elementary operations and reduced forms -- Linear equations -- Determinants -- Inner product and orthogonality -- Eigen values -- Quadratic forms -- Linear programming -- Statistical applications
N2  - 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.
ER  -