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007			cr cnu|||unuuu
008			200824s2020 si ob 001 0 eng
040			_a WSPC _b eng _c WSPC
010			_a 2020038858
020			_a9789811220418 _q(ebook)
020			_z9789811220401 _q(hbk.)
020			_z9789811221071 _q(pbk.)
050	0	0	_aQA179 _b.E73 2020
072		7	_aMAT _x002050 _2bisacsh
072		7	_aMAT _x036000 _2bisacsh
072		7	_aMAT _x022000 _2bisacsh
082	0	0	_a512.5 _223
100	1		_aErdman, John M., _d1935- _921213
245	1	0	_aExercises and problems in linear algebra _h[electronic resource] / _cby John M. Erdman.
260			_aSingapore ; _aNew Jersey : _bWorld Scientific, _c2020.
300			_a1 online resource (xiii, 205 p.)
504			_aIncludes bibliographical references and index.
505	0		_aPreface -- Matrices and linear equations. Arithmetic of matrices. Elementary matrices; determinants. Vector geometry in ℝⁿ -- Vector spaces. Vector spaces. Subspaces. Linear independence. Basis for a vector space -- Linear maps between vector spaces. Linearity. Linear maps between euclidean spaces. Projection operators -- Spectral theory of vector spaces. Eigenvalues and eigenvectors. Diagonalization of matrices. Spectral theorem for vector spaces. Some applications of the spectral theorem. Every operator is diagonalizable plus nilpotent -- The geometry of inner product spaces. Complex arithmetic. Real and complex inner product spaces. Orthonormal sets of vectors. Quadratic forms. Optimization -- Adjoint operators. Adjoints and transposes. The four fundamental subspaces. Orthogonal projections. Least squares approximation -- Spectral theory of inner product spaces. Spectral theorem for real inner product spaces. Spectral theorem for complex inner product spaces -- Bibliography -- Index.
520			_a"This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought. The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems"--Publisher's website.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
650		0	_aAlgebras, Linear _vProblems, exercises, etc. _916797
655		0	_aElectronic books. _93294
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/11830#t=toc _zAccess to full t xt is restricted to subscribers.
942			_cEBK
999			_c72783 _d72783