000			01549 a2200205 4500
005			20181025111452.0
008			181025b xxu||||| |||| 00| 0 eng d
020			_a9781611975130
040			_cIIT Kanpur
041			_aeng
082			_a512.5 _bF913l
100			_aFriedland, Shmuel
245			_aLinear algebra and matrices _cShmuel Friedland and Mohsen Aliabadi
260			_bSIAM _c2018 _aPhiladelphia
300			_axv, 285p
520			_aThis introductory textbook grew out of several courses in linear algebra given over more than a decade and includes such helpful material as: constructive discussions about the motivation of fundamental concepts many worked-out problems in each chapter, and topics rarely covered in typical linear algebra textbooks. The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics.
650			_aAlgebras -- Linear
700			_aAliabadi, Mohsen
942			_cBK
999			_c559477 _d559477