• Larisa BeilinaEmail author
  • Evgenii Karchevskii
  • Mikhail Karchevskii


In this chapter we provide the necessary background from the theory of complex numbers. Then we describe the basic properties of polynomials and their roots. We introduce the concept of determinants, establish their properties, and present the basic theory of systems of linear algebraic equations with nonsingular matrices. The main types of rectangular matrices are described.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Larisa Beilina
    • 1
    Email author
  • Evgenii Karchevskii
    • 2
  • Mikhail Karchevskii
    • 3
  1. 1.Department of Mathematical SciencesChalmers University of Technology and University of GothenburgGothenburgSweden
  2. 2.Department of Applied MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia
  3. 3.Department of Computational MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia

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