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Linear Algebra with Applications
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yryx .
Linear Algebra with Applications
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Linear Algebra with Applications
Attribution
Citation
yryx .
Linear Algebra with Applications
Base Text Revision History
Current Revision: Version 2021 — Revision A
Table of Contents
Table of Contents iii
Foreward vii
Preface ix
1 Systems of Linear Equations 1
2 Matrix Algebra 35
3 Determinants and Diagonalization 143
4 Vector Geometry 207
5 Vector Space \mathbb { R } ^ { n } 261
6 Vector Spaces 327
7 Linear Transformations 371
8 Orthogonality 409
9 Change of Basis 495
10 Inner Product Spaces 529
11 Canonical Forms 573
Selected Exercise Answers 617
Index 653
SUGGESTED COURSE OUTLINES
CHAPTER DEPENDENCIES
HIGHLIGHTS OF THE TEXT
CHAPTER SUMMARIES
Chapter 1: Systems of Linear Equations.
Chapter 2: Matrix Algebra.
Chapter 3: Determinants and Diagonalization.
Chapter 4: Vector Geometry.
Chapter 5: The Vector Space Rn.
Chapter 6: Vector Spaces.
Chapter 7: Linear Transformations.
Chapter 8: Orthogonality.
Chapter 9: Change of Basis.
Chapter 10: Inner Product Spaces.
Chapter 11: Canonical Forms.
Appendices
LIST OF APPLICATIONS
ACKNOWLEDGMENTS