Review of Linear Algebra

  • James B. Elsner
  • Anastasios A. Tsonis


Linear algebra is about the simplification of matrices. Broadly speaking, there are two types of matrix simplifications. Matrices can be simplified through a method called elimination or matrices can be simplified through a process called spectral decomposition. Matrix simplification through elimination produces diagonal and triangular matrices and is used extensively in the solution of linear systems of the form
$$ Ax = b. $$


Linear Algebra Triangular Matrix Main Diagonal Gaussian Elimination Triangular Matrice 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • James B. Elsner
    • 1
  • Anastasios A. Tsonis
    • 2
  1. 1.Florida State UniversityTallahasseeUSA
  2. 2.University of Wisconsin-MilwaukeeMilwaukeeUSA

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