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Permutations and Determinants

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Algebraic and Differential Methods for Nonlinear Control Theory

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Abstract

This chapter introduces basic concepts about permutations and determinants of matrices, the first part contains permutation groups explained through various definitions and theorems, the second part is about determinants of matrices, a method to obtain the determinant of a matrix is given along various other useful results.

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Author information

Authors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, Mexico City, Distrito Federal, Mexico

    Rafael Martínez-Guerra, Oscar Martínez-Fuentes & Juan Javier Montesinos-García

Authors
  1. Rafael Martínez-Guerra
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  2. Oscar Martínez-Fuentes
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  3. Juan Javier Montesinos-García
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Corresponding author

Correspondence to Rafael Martínez-Guerra .

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Martínez-Guerra, R., Martínez-Fuentes, O., Montesinos-García, J.J. (2019). Permutations and Determinants. In: Algebraic and Differential Methods for Nonlinear Control Theory. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12025-2_5

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  • DOI: https://doi.org/10.1007/978-3-030-12025-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12024-5

  • Online ISBN: 978-3-030-12025-2

  • eBook Packages: EngineeringEngineering (R0)

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