Encyclopedia of Social Network Analysis and Mining

2018 Edition
| Editors: Reda Alhajj, Jon Rokne

Matrix Algebra, Basics of

Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-7131-2_151

Synonyms

Glossary

Augmented matrix

An augmented matrix of a system of linear equations written in matrix form CX = B is a matrix of the form [C|B], where C is the coefficient matrix of the system and B is the constant column of the system

Consistent and inconsistent system of linear equations

A system of linear equations is said to be consistent if it has a solution, and it is called inconsistent if it has no solutions

Cramer rule

Cramer’s rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of...

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References

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Copyright information

© Springer Science+Business Media LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsAmerican University of SharjahSharjahUAE

Section editors and affiliations

  • Suheil Khoury
    • 1
  1. 1.American University of SharjahSharjahUnited Arab Emirates