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1 results

  • 1 - Vector and Matrix Algebra

  • from Part I - Matrix Methods
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book:
    Matrix, Numerical, and Optimization Methods in Science and Engineering
    Published online:
    18 February 2021
    Print publication:
    04 March 2021, pp 3-63

  • 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.