000			01692 a2200265 4500
003			OSt
005			20210706120514.0
008			210204b xxu||||| |||| 00| 0 eng d
020			_a9789386279019
040			_cIIT Kanpur
041			_aeng
082			_a510 _bR18l2
100			_aRao, A. Ramachandra
245			_aLinear algebra [2nd ed.] [Perpetual] _cA. Ramachandra Rao and P. Bhimasankaram
250			_a2nd ed.
260			_bHindustan Book Agency _c2000 _aNew Delhi
440			_aTexts and readings in mathematics; no.19
490			_a/ edited by C. S. Seshadri
520			_aThe 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.
650			_aMathematics
650			_aAlgebras, Linear
700			_aBhimasankaram, P.
856			_uhttps://link.springer.com/book/10.1007/978-93-86279-01-9
942			_cEBK
999			_c563547 _d563547