Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Matrix Methods
- 1 Vector and Matrix Algebra
- 2 Algebraic Eigenproblems and Their Applications
- 3 Differential Eigenproblems and Their Applications
- 4 Vector and Matrix Calculus
- 5 Analysis of Discrete Dynamical Systems
- Part II Numerical Methods
- Part III Least Squares and Optimization
- References
- Index
1 - Vector and Matrix Algebra
from Part I - Matrix Methods
Published online by Cambridge University Press: 18 February 2021
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Matrix Methods
- 1 Vector and Matrix Algebra
- 2 Algebraic Eigenproblems and Their Applications
- 3 Differential Eigenproblems and Their Applications
- 4 Vector and Matrix Calculus
- 5 Analysis of Discrete Dynamical Systems
- Part II Numerical Methods
- Part III Least Squares and Optimization
- References
- Index
Summary
Vectors and matrices provide a mathematical framework for formulating and solving linear systems of algebraic equations, which have applications in all areas of engineering and the sciences.Solution methods include Gaussian elimination and the matrix inverse.Vectors play a key role in representing various quantities in mechanics as well as providing the bases for vector spaces.Linear transformations allow one to alter such vector spaces to ones that are more convenient for the task at hand.
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- Publisher: Cambridge University PressPrint publication year: 2021