Solutions manual for Lang's linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York
Springer
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 183 Seiten Illustrationen |
| ISBN: | 0387947604 9780387947600 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125493084028928 |
|---|---|
| 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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| genre_facet | Aufgabensammlung |
| id | DE-604.BV011002007 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:02:26Z |
| institution | BVB |
| isbn | 0387947604 9780387947600 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007365664 |
| oclc_num | 36028652 |
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| physical | XI, 183 Seiten Illustrationen |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
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| spelling | Shakarchi, Rami Verfasser (DE-588)14028138X aut Solutions manual for Lang's linear algebra Rami Shakarchi New York Springer 1996 XI, 183 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Algebras, Linear Problems, exercises, etc Lineare Algebra (DE-588)4035811-2 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4612-0755-9 Ergänzung zu Lang, Serge Linear Algebra GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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