Exploring linear algebra: labs and projects with Mathematica
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL [u.a.]
CRC Press, Taylor & Francis
2015
|
| Series: | Textbooks in mathematics
A Chapman & Hall book |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 139 S. Ill., graph. Darst. |
| ISBN: | 9781482241495 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Titel: Exploring linear algebra
Autor: Arangala, Crista
Jahr: 2015
Contents
Preface ix
Acknowledgments xi
1 Matrix Operations 1
Lab 0: An Introduction to Mathematica® 1
Lab 1: Matrix Basics and Operations 4
Lab 2: A Matrix Representation of Linear Systems 7
Lab 3: Powers, Inverses, and Special Matrices 10
Lab 4: Graph Theory and Adjacency Matrices 13
Lab 5: Permutations and Determinants 16
Lab 6: 4 x 4 Determinants and Beyond 21
Project Set 1 23
2 Invertibility 29
Lab 7: Singular or Nonsingular? Why Singularity Matters . . 29
Lab 8: Mod It Out, Matrices with Entries in Zp 32
Lab 9: It s a Complex World 35
Lab 10: Declaring Independence: Is It Linear? 37
Project Set 2 40
3 Vector Spaces 47
Lab 11: Vector Spaces and Subspaces 47
Lab 12: Basing It All on Just a Few Vectors 50
Lab 13: Linear Transformations 53
Lab 14: Eigenvalues and Eigenspaces 57
Lab 15: Markov Chains: An Application of Eigenvalues 60
Project Set 3 62
4 Orthogonality 71
Lab 16: Inner Product Spaces 71
Lab 17: The Geometry of Vector and Inner Product Spaces . . 75
vii
viii
Lab 18: Orthogonal Matrices, QR Decomposition, and Least
Squares Regression 80
Lab 19: Symmetric Matrices and Quadratic Forms 85
Project Set 4 90
5 Matrix Decomposition with Applications 97
Lab 20: Singular Value Decomposition (SVD) 97
Lab 21: Cholesky Decomposition and Its Application to Statistics 103
Lab 22: Jordan Canonical Form 108
Project Set 5 112
6 Applications to Differential Equations 117
Lab 23: Linear Differential Equations 117
• Lab 24: Higher-Order Linear Differential Equations 122
Lab 25: Phase Portraits, Using the Jacobian Matrix to Look
V Closer at Equilibria 125
Project Set 6 128
Mathematica Demonstrations and References 133
Index 137
|
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| discipline | Mathematik |
| format | Book |
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| isbn | 9781482241495 |
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| physical | XI, 139 S. Ill., graph. Darst. |
| publishDate | 2015 |
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| publisher | CRC Press, Taylor & Francis |
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| spelling | Arangala, Crista Verfasser (DE-588)1068201924 aut Exploring linear algebra labs and projects with Mathematica Crista Arangala Boca Raton, FL [u.a.] CRC Press, Taylor & Francis 2015 XI, 139 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Textbooks in mathematics A Chapman & Hall book Datenverarbeitung Algebras, Linear / Data processing Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Mathematica Programm (DE-588)4268208-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027842199&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arangala, Crista Exploring linear algebra labs and projects with Mathematica Datenverarbeitung Algebras, Linear / Data processing Mathematica Programm (DE-588)4268208-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
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| title | Exploring linear algebra labs and projects with Mathematica |
| title_auth | Exploring linear algebra labs and projects with Mathematica |
| title_exact_search | Exploring linear algebra labs and projects with Mathematica |
| title_full | Exploring linear algebra labs and projects with Mathematica Crista Arangala |
| title_fullStr | Exploring linear algebra labs and projects with Mathematica Crista Arangala |
| title_full_unstemmed | Exploring linear algebra labs and projects with Mathematica Crista Arangala |
| title_short | Exploring linear algebra |
| title_sort | exploring linear algebra labs and projects with mathematica |
| title_sub | labs and projects with Mathematica |
| topic | Datenverarbeitung Algebras, Linear / Data processing Mathematica Programm (DE-588)4268208-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Datenverarbeitung Algebras, Linear / Data processing Mathematica Programm Lineare Algebra |
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