Linear Equations and Matrices

Abstract

We begin with coordinate systems and graphing of linear equations. We consider systems of linear equations and the usual algorithm for solution, using pivoting. The augmented matrix of a system is introduced. We then introduce matrices and vectors in general; the basic properties of vectors and matrices and the usual operations of addition and multiplication are covered. We define zero and identity matrices and matrix inverses, and the application of inverses in solving equation systems. The Leontief input–output model is introduced briefly.

Keywords

Coordinate system Linear equation Vector Matrix Input–output models 

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

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