Holdings: Introduction to linear algebra

Introduction to linear algebra:

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Bibliographic Details
Main Author:	Strang, Gilbert 1934- (Author)
Format:	Book
Language:	English
Published:	Wellesley, Ma. Wellesley-Cambridge Press 1998
Edition:	2. ed.
Subjects:	Algebras, Linear Lineare Algebra Einführung Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	VII, 502 S. graph. Darst.
ISBN:	0961408855

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adam_text	INTRODUCTION TO LINEAR ALGEBRA SECOND EDITION GILBERT STRANG MASSACHUSETTS INSTITUTE OF TECHNOLOGY WELLESLEY-CAMBRIDGE PRESS BOX 812060 WELLESLEY MA 02482 TABLE OF CONTENTS 1 INTRODUCTION TO VECTORS 1 1.1 VECTORS AND LINEAR COMBINATIONS 1 1.2 LENGTHS AND DOT PRODUCTS 10 2 SOLVING LINEAR EQUATIONS 21 2.1 VECTORS AND LINEAR EQUATIONS 21 2.2 THE IDEA OF ELIMINATION 34 2.3 ELIMINATION USING MATRICES 44 2.4 RULES FOR MATRIX OPERATIONS 54 2.5 INVERSE MATRICES 66 2.6 ELIMINATION = FACTORIZATION: A = LU 11 2.7 TRANSPOSES AND PERMUTATIONS 89 3 VECTOR SPACES AND SUBSPACES 101 3.1 SPACES OF VECTORS 101 3.2 THE NULLSPACE OF A: SOLVING AX -0 111 3.3 THE RANK AND THE ROW REDUCED FORM 122 3.4 THE COMPLETE SOLUTION TO AX = B 131 3.5 INDEPENDENCE, BASIS AND DIMENSION 141 3.6 DIMENSIONS OF THE FOUR SUBSPACES 155 4 ORTHOGONALITY 165 4.1 ORTHOGONALITY OF THE FOUR SUBSPACES 165 4.2 PROJECTIONS 174 4.3 LEAST SQUARES APPROXIMATIONS 184 4.4 ORTHOGONAL BASES AND GRAM-SCHMIDT 195 5 DETERMINANTS 207 5.1 THE PROPERTIES OF DETERMINANTS 207 5.2 PERMUTATIONS AND COFACTORS 217 5.3 CRAMER S RULE, INVERSES, AND VOLUMES 230 6 EIGENVALUES AND EIGENVECTORS 245 6.1 INTRODUCTION TO EIGENVALUES 245 6.2 DIAGONALIZING A MATRIX 258 6.3 APPLICATIONS TO DIFFERENTIAL EQUATIONS 271 6.4 SYMMETRIC MATRICES 283 , III IV TABLE OF CONTENTS 6.5 POSITIVE DEFINITE MATRICES 6.6 SIMILAR MATRICES 6.7 SINGULAR VALUE DECOMPOSITION (SVD) 7 LINEAR TRANSFORMATIONS 7.1 THE IDEA OF A LINEAR TRANSFORMATION 7.2 THE MATRIX, OF A LINEAR TRANSFORMATION 7.3 CHANGE OF BASIS 7.4 DIAGONALIZATION AND THE PSEUDOINVERSE 8 APPLICATIONS 8.1 GRAPHS AND NETWORKS 8.2 MARKOV MATRICES AND ECONOMIC MODELS 8.3 LINEAR PROGRAMMING 8.4 FOURIER SERIES: LINEAR ALGEBRA FOR FUNCTIONS 8.5 COMPUTER GRAPHICS 9 NUMERICAL LINEAR ALGEBRA 9.1 GAUSSIAN ELIMINATION IN PRACTICE 9.2 NORMS AND CONDITION NUMBERS 9.3 ITERATIVE METHODS FOR LINEAR ALGEBRA 10 COMPLEX VECTORS AND MATRICES 10.1 COMPLEX NUMBERS 10.2 HERMITIAN AND UNITARY MATRICES 10.3 THE FAST FOURIER TRANSFORM SOLUTIONS TO SELECTED EXERCISES MIT COURSE 18.06 FINAL EXAM MATRIX FACTORIZATIONS INDEX TEACHING CODES Q
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spelling	Strang, Gilbert 1934- Verfasser (DE-588)141888474 aut Introduction to linear algebra Gilbert Strang 2. ed. Wellesley, Ma. Wellesley-Cambridge Press 1998 VII, 502 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009166275&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
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title	Introduction to linear algebra
title_auth	Introduction to linear algebra
title_exact_search	Introduction to linear algebra
title_full	Introduction to linear algebra Gilbert Strang
title_fullStr	Introduction to linear algebra Gilbert Strang
title_full_unstemmed	Introduction to linear algebra Gilbert Strang
title_short	Introduction to linear algebra
title_sort	introduction to linear algebra
topic	Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd
topic_facet	Algebras, Linear Lineare Algebra Einführung Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009166275&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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