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1 - Vector and Matrix Algebra

from Part I - Matrix Methods

Published online by Cambridge University Press:  18 February 2021

Kevin W. Cassel
Kevin W. Cassel
Affiliation:
Illinois Institute of Technology
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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.

Keywords

vector and matrix algebralinear systems of algebraic equationsGaussian eliminationvector spacesorthogonalizationlinear transformations
Type
Chapter
Information
Matrix, Numerical, and Optimization Methods in Science and Engineering , pp. 3 - 63
Publisher: Cambridge University Press
Print publication year: 2021

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  • Vector and Matrix Algebra
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.003
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  • Vector and Matrix Algebra
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.003
Available formats
×

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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Vector and Matrix Algebra
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.003
Available formats
×