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Determinants, and Linear Independence

  • Alan Jeffrey
Chapter

Abstract

Determinants can be defined and studied independently of matrices, though when square matrices occur they play a fundamental role in the study of linear systems of algebraic equations, in the formal definition of an inverse matrix, and in the study of the eigenvalues of a matrix. So, in anticipation of what is to follow in later chapters, and before developing the properties of determinants in general, we will introduce and motivate their study by examining the solution a very simple system of equations.

Keywords

Gaussian Elimination Triangular Form Functional Determinant Homogeneous Linear Equation Null Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Netherlands 2010

Authors and Affiliations

  • Alan Jeffrey
    • 1
  1. 1.University of NewcastleNewcastle upon TyneUnited Kingdom

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