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Introduction

  • Josef Stoer
  • Christoph Witzgall
Chapter
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 163)

Abstract

A system of linear equations is given by
$$\matrix{a_{11}x_1+\cdots+a_{1n}x_n=b_1\cr \cdot \cdot \cdot\ \ \ \ \cdot \cdot \cdot\cr a_{m1}x_1+\cdots +a_{mn}x_n=b_m}.$$
(I.1)
Here the coefficients aik, i=1,…,m, k=l, …,n, and bi, i = l,…,m, denote elements of a field R Elements xk, k=1,…,n, form a solution of (I.1) if they satisfy every one of the equations.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1970

Authors and Affiliations

  • Josef Stoer
    • 1
  • Christoph Witzgall
    • 2
  1. 1.Universität WürzburgDeutschland
  2. 2.Boeing Scientific Research LaboratoriesSeattleUSA

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