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1

Nicolaides, A. Determinants & matrices. Private Academic & Scientific Studies, 1994.

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2

P, Hostetler Robert, ed. Systems of equations, matrices, and determinants. D.C. Heath and Co., 1986.

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3

Girko, V. L. Theory of random determinants. Kluwer Academic Publishers, 1990.

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4

Johnson, Kenneth W. Group Matrices, Group Determinants and Representation Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28300-1.

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5

Stefanidis, Peter, Andrzej Piotr Paplińnski, and Michael John Gibbard, eds. Numerical Operations with Polynomial Matrices. Springer-Verlag, 1992. http://dx.doi.org/10.1007/bfb0039323.

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6

Bronson, Richard. Schaum's outline of theory and problems of matrix operations. McGraw-Hill, 1989.

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7

Friedrich, Alfred. Algebra: Matrizen, Determinanten, lineare Gleichungssysteme, Vektoren, Graphen, Kombinatorik und Logik--mit Anwendungen im Operations Research und in der Informatik. Expert, 2004.

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8

1942-, Papliński A. P., and Gibbard M. J. 1937-, eds. Numerical operations with polynomial matrices: Application to multi-variable dynamic compensator design. Springer-Verlag, 1992.

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9

Dr, Molnár Sándor, ed. Introduction to matrix theory: With applications to business and economics. World Scientific, 2002.

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10

Borsos-Torstila, Julianna. The determinants of foreign direct investment operations of Finnish MNCs in transition economies, 1990-1995. Helsinki School of Economics and Business Administration, 1999.

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11

Blitzer, Robert. Student Solutions Manual for College Algebra. 5th ed. Pearson Prentice Hall, 2010.

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12

Papanastassiou, Marina. Firm strategies and the research-intensity of US MNEs' overseas operations: An analysis of host-country determinants. University of Reading. Department of Economics, 1992.

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13

Papanastassiou, Marina. Firm-strategies and the research-intensity of US MNEs' overseas operations: An analysis of host-country determinants. University of Reading, Dept. of Economics, 1992.

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14

Random Matrices AMS Short Course. Modern aspects of random matrix theory: AMS Short Course, Random Matrices, January 6-7, 2013, San Diego, California. Edited by Vu, Van, 1970- editor of compilation. American Mathematical Society, 2014.

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15

A, Morozov, ed. Introduction to non-linear algebra. World Scientific, 2007.

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16

Facchinei, Francisco. Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer-Verlag New York, Inc., 2004.

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17

Munerman, Viktor, Vadim Borisov, and Aleksandra Kononova. Mass data processing. Algebraic models and methods. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1906037.

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The monograph is devoted to mathematical and algorithmic support of mass data processing based on algebraic models. One of the most common classes of mass processing is considered - processing of highly active structured data. The construction of algebraic models of data and calculations and methods of proving their correspondence are analyzed. Three algebraic systems are studied, which can be used both as data models and as models of calculations. The algebraic and axiomatic methods of proving the correspondence of these models are investigated. A proof of their correspondence is given: homomorphism and isomorphism. The problem of optimizing the processes of mass processing of data presented in the form of algebraic expressions in the proposed algebra models is raised. The algorithms of synthesis and optimization of calculation of these expressions, the method of symmetric horizontal data distribution providing parallel implementation of calculation of algebraic expressions and generalization of the block algorithm of parallel matrix multiplication for the case of multiplication of multidimensional matrices are described in detail. Architectures of software and hardware complexes for effective parallel implementation of operations in the considered algebra models are proposed. A number of real-world examples illustrating the application of the proposed methods are given.
 For students, postgraduates and teachers of technical and physical-mathematical universities and faculties.
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18

Matrix and Determinant. Taylor & Francis Group, 2020.

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19

Shah, Nita H., and Foram A. Thakkar. Matrix and Determinant: Fundamentals and Applications. Taylor & Francis Group, 2020.

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20

Shah, Nita H., and Foram A. Thakkar. Matrix and Determinant: Fundamentals and Applications. Taylor & Francis Group, 2020.

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21

Shah, Nita H., and Foram A. Thakkar. Matrix and Determinant: Fundamentals and Applications. Taylor & Francis Group, 2020.

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22

Matrix and Determinant: Fundamentals and Applications. Taylor & Francis Group, 2020.

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23

Mann, Peter. The (Not So?) Basics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0030.

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This chapter discusses matrices. Matrices appear in many instances across physics, and it is in this chapter that the background necessary for understanding how to use them in calculations is provided. Although matrices can be a little daunting upon first exposure, they are very handy for a lot of classical physics. This chapter reviews the basics of matrices and their operations. It discusses square matrices, adjoint matrices, cofactor matrices and skew-symmetric matrices. The concepts of matrix multiplication, transpose, inverse, diagonal, identity, Pfaffian and determinant are examined. The chapter also discusses the terms Hermitian, symmetric and antisymmetric, as well as the Levi-Civita symbol and Laplace expansion.
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24

Matrices and Determinants. Masse, Robert P., 2023.

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25

Aitken, Alexander Craig. Determinants and Matrices. Brousson Press, 2012.

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26

Matrices and determinoids. University Press, 1991.

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27

Schmeidler, Werner. Vorträge über Determinanten und Matrizen Mit Anwendungen in Physik und Technik. de Gruyter GmbH, Walter, 2022.

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28

Introduction to the Theory of Determinants and Matrices. University of North Carolina Press, 2018.

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29

Introduction to the Theory of Determinants and Matrices. University of North Carolina Press, 2011.

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30

Nicolaides, A. GCE A Level Pure Mathematics. 2nd ed. PASS Publishing, 1995.

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31

Nicolaides, A. GCE A Level Pure Mathematics. Pass Publications, 1992.

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32

Nicolaides, A. GCE A Level Pure Mathematics. Pass Publications, 1994.

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33

Matrix Operations. McGraw-Hill Education, 2011.

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34

AlgebraA Text Book of Determinants Matrices and Algebraic Forms. Creative Media Partners, LLC, 2023.

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35

Ferrar, Wl. AlgebraA Text Book of Determinants Matrices and Algebraic Forms. Creative Media Partners, LLC, 2015.

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36

Linear algebra c-1 Linear equations, matrices and determinants. Bookboon, 2013.

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37

Linear algebra c-1 Linear equations, matrices and determinants. Bookboon, 2013.

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38

Linear algebra c-1 Linear equations, matrices and determinants. Bookboon, 2013.

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39

AlgebraA Text Book of Determinants Matrices and Algebraic Forms. Creative Media Partners, LLC, 2023.

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40

Linear Algebra I Matrices and Row operations. Bookboon, 2013.

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41

Linear Algebra I Matrices and Row operations. Bookboon, 2013.

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42

Linear Algebra I Matrices and Row operations. Bookboon, 2013.

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43

Algebra: A Text-Book of Determinants, Matrices, and Algebraic Forms. Spektrum Akademischer Verlag GmbH, 2013.

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44

Koko, Jacques L. Determinants of Success in un Peacekeeping Operations. University Press of America, Incorporated, 2012.

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45

Determinants of Success in UN Peacekeeping Operations. Rowman & Littlefield Publishers, Incorporated, 2012.

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46

Jeffrey, Alan. Matrix Operations for Engineers and Scientists: An Essential Guide in Linear Algebra. Springer London, Limited, 2010.

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47

Tang, K. T. Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and Matrices. Springer, 2006.

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48

Tang, Kwong-Tin. Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and Matrices. Springer London, Limited, 2006.

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49

Johnson, Kenneth W. Group Matrices, Group Determinants and Representation Theory: The Mathematical Legacy of Frobenius. Springer, 2019.

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50

Mathematical methods for engineers and scientists 1: Complex analysis, determinants and matrices. Springer, 2011.

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