000			a
999			_c33756 _d33756
008			250301b xxu||||| |||| 00| 0 eng d
020			_a9783319243443
082			_a512.5 _bLIE
100			_aLiesen, Jorg
245			_aLinear Algebra
260			_bSpringer, _c2015 _aCham :
300			_axi, 324 p. ; _bill., _c24 cm
365			_b34.99 _c€ _d93.20
490			_aSpringer Undergraduate Mathematics Series
504			_aIncludes bibliographical references and index.
520			_aThis self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises.
650			_aAlgebra Linear
650			_aMatrix theory
650			_aCharacteristic polynomial
650			_aCommutative ring
650			_aEigenvector
650			_aInverse element
650			_aJordan canonical form
650			_aLinearly independent
650			_aOrthonormal basis
650			_aPermutation matrix
650			_aScalar product
700			_aMehrmann, Volker
942			_2ddc _cBK