Abstract
Solving linear systems of equations is a central problem of Linear Algebra that we discuss in an introductory way in this chapter. Such systems arise in numerous applications from engineering to the natural and social sciences. Major sources of linear systems of equations are the discretization of differential equations and the linearization of nonlinear equations. In this chapter we analyze the solution sets of linear systems of equations and we characterize the number of solutions using the echelon form from Chap. 5. We also develop an algorithm for the computation of the solutions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Liesen, J., Mehrmann, V. (2015). Linear Systems of Equations. In: Linear Algebra. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-24346-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-24346-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24344-3
Online ISBN: 978-3-319-24346-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)