Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Preliminaries
- 2 Matrix Algebra
- 3 Graphical Linear Programming
- 4 Sensitivity Analysis and Duality
- 5 The Simplex Algorithm
- 6 Game Theory
- 7 More Game Theory
- 8 Sensitivity Analysis, Ordinal Games, and n-Person Games
- 9 More Linear Programming
- Appendix A Rapid Review of Sets and Probability
- References
- Index
2 - Matrix Algebra
Published online by Cambridge University Press: 11 March 2021
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Preliminaries
- 2 Matrix Algebra
- 3 Graphical Linear Programming
- 4 Sensitivity Analysis and Duality
- 5 The Simplex Algorithm
- 6 Game Theory
- 7 More Game Theory
- 8 Sensitivity Analysis, Ordinal Games, and n-Person Games
- 9 More Linear Programming
- Appendix A Rapid Review of Sets and Probability
- References
- Index
Summary
This chapter provides a basic introduction to matrices, including the following: scaling, transposing, adding, and subtracting matrices; multiplying matrices and applications; finding determinants and inverses of 2 x 2 matrices; and solving systems of equations by matrix inversion. Applications of matrix algebra, including applications to cryptography and to Leontief economic models, are discussed.A method for finding inverses of larger matrices using elimination is developed in a series of exercises.
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- Information
- Invitation to Linear Programming and Game Theory , pp. 63 - 101Publisher: Cambridge University PressPrint publication year: 2021