Verfügbarkeit: Solutions manual for Lang's linear algebra

Solutions manual for Lang's linear algebra:

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Bibliographische Detailangaben
Beteilige Person:	Shakarchi, Rami (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	New York Springer 1996
Schlagwörter:	Algebras, Linear > Problems, exercises, etc Lineare Algebra Aufgabensammlung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007365664&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XI, 183 Seiten Illustrationen
ISBN:	0387947604 9780387947600

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Datensatz im Suchindex

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adam_text	IMAGE 1 RAMI SHAKARCHI SOLUTIONS MANUAL FOR LANG S LINEAR ALGEBRA SPRINGER IMAGE 2 CONTENTS CHARTER I VECTOR SPACES 1 §1. DEFINITIONS 1 §2. BASES 5 §4. SUMS AND DIRECT SUMS 10 CHARTER II MATRICES 12 § 1. THE SPACE OF MATRICES 12 §2. LINEAR EQUATIONS 17 §3. MULTIPLICATION OF MATRICES 18 CHARTER III LINEAR MAPPINGS 34 §1. MAPPINGS 34 §2. LINEAR MAPPINGS 37 §3. THE KERNEL AND IMAGE OF A LINEAR MAP 42 §4. COMPOSITION AND INVERSE OF LINEAR MAPPINGS 50 §5. GEOMETRIE APPLICATIONS 55 CHAPTERTV* LINEAR MAPS AND MATRICES 57 § 1. THE LINEAR MAP ASSOCIATED WITH A MATRIX 57 §2. THE MATRIX ASSOCIATED RAETH A LINEAR MAP 57 §3. BASES, MATRICES AND LINEAR MAP 60 CHARTER V SCALAR PRODUCTS AND ORTHOGONALITY 65 §1. SCALAR PRODUCTS 65 §2. ORTHOGONAL BASES, POSITIVE DEFINITE CASE 66 §3. APPLICATION TO LINEAR EQUATIONS; THE RANK 71 IMAGE 3 X CONTENTS §4. BILINEAR MAP AND MATRICES 75 §5. GENERAL ORTHOGONAL BASES 78 §6. THE DUAL SPACE AND SCALAR PRODUCTS 79 §7. QUADRATIC FORMS 81 §8. SYLVESTER S THEOREM 82 CHAPTERVI DETERMINANTS 85 §2. EXISTENCE OF DETERMINANTS 85 §3. ADDITIONAL PROPERTIES OF DETERMINANTS 85 §4. CRAMER S RULE 91 §5. TRIANGULATION OF A MATRIX BY COLUMN OPERATIONS 91 §6. PERMUTATIONS 93 §7. EXPANSION FORMULA AND UNIQUENESS OF DETERMINANTS 95 §8. INVERSE OF A MATRIX 98 §9. THE RANK OF MATRIX AND SUBDETERMINANTS 99 CHARTER VII SYMMETRIE, HERMITIAN AND UNITARY OPERATORS 101 §1. SYMMETRIE OPERATORS 101 §2. HERMITIAN OPERATORS 107 §3. UNITARY OPERATORS 110 CHARTER VM EIGENVECTORS AND EIGENVALUES 117 § 1. EIGENVECTORS AND EIGENVALUES 117 §2. THE CHARACTERISTIC POLYNOMIAL 121 §3. EIGENVALUES AND EIGENVECTORS OF SYMMETRIE MATRICES 135 §4. DIAGONALIZATION OF A SYMMETRIE LINEAR MAP 136 §5. THE HERMITIAN CASE 148 CHAPTERTX POLYNOMIALS AND MATRICES 154 §2. POLYNOMIALS OF MATRICES AND LINEAR MAPS 154 CHAPTER X TRIANGULATION OF MATRICES AND LINEAR MAPS 156 § 1. EXISTENCE OF TRIANGULATION 156 §3. DIAGONALIZATION OF UNITARY MAPS 159 IMAGE 4 CONTENTS XI CHAPTERXI POLYNOMIALS AND PRIMARY DECOMPOSITION 160 § 1. THE EUCLIDEAN ALGORITHM 160 §2. GREATEST COMMON DIVISOR 161 §3. UNIQUE FACTORIZATION 162 §4. APPLICATION TO THE DECOMPOSITION OF A VECTOR SPACE 169 §5. SCHUR S LEMMA 170 §6. THE JORDAN NORMAL FORM 173 CHARTER XU CONVEX SETS 176 §4. THE KREIN-MILMAN THEOREM 176 APPENDIX COMPLEX NUMBERS 179 %
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indexdate	2024-12-20T10:04:39Z
institution	BVB
isbn	0387947604 9780387947600
language	German
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physical	XI, 183 Seiten Illustrationen
publishDate	1996
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publishDateSort	1996
publisher	Springer
record_format	marc
spellingShingle	Shakarchi, Rami Solutions manual for Lang's linear algebra Algebras, Linear Problems, exercises, etc Lineare Algebra (DE-588)4035811-2 gnd
subject_GND	(DE-588)4035811-2 (DE-588)4143389-0
title	Solutions manual for Lang's linear algebra
title_auth	Solutions manual for Lang's linear algebra
title_exact_search	Solutions manual for Lang's linear algebra
title_full	Solutions manual for Lang's linear algebra Rami Shakarchi
title_fullStr	Solutions manual for Lang's linear algebra Rami Shakarchi
title_full_unstemmed	Solutions manual for Lang's linear algebra Rami Shakarchi
title_short	Solutions manual for Lang's linear algebra
title_sort	solutions manual for lang s linear algebra
topic	Algebras, Linear Problems, exercises, etc Lineare Algebra (DE-588)4035811-2 gnd
topic_facet	Algebras, Linear Problems, exercises, etc Lineare Algebra Aufgabensammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007365664&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT shakarchirami solutionsmanualforlangslinearalgebra

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