The Weak Commutation Matrices of Matrix with Duplicate Entries in Its Main Diagonal
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D. A. Harville, Matrix Algebra from a Statistician's Perspective, New York: Springer, 2008.
J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, USA: John Wiley and Sons, Inc, 2019.
J. R. Magnus and H. Neudecker, "The commutation matrix: some properties and application," The Annals of Statistics, vol. 7, no. 2, pp. 381-394, 1979.
C. Xu, H. Lingling and L. Zerong, "Commutation matrices and commutation tensor," Linear and Multilinear Algebra, vol. 68, no. 9, pp. 1721-1742, 2020.
J. A. Galian, Contemporary Abstract Algebra, 7 ed., Belmon, CA: Brooks/Cole, Cengage Learning, 2010.
R. Piziak and P. L. Odell, Matrix Theory: From Generalized Inverses to Jordan Form, New York: Chapmann & Hall/CRC, 2007.
H. Zhang and F. Ding, "On the Kronecker products and their applications," Journal of Applied Mathematics, pp. 1-8, 2013.
Y. Yanita, E. Purwanti and L. Yulianti, "The commutation matrices of elements in Kronecker quaternion group," Jambura Journal of mathematics, vol. 4, no. 1, pp. 135-144, 2022.
Y. Yanita, A. M. Zakiya dan M. R. Helmi, “Solvability group from Kronecker product on the representation of quaternion group,” Asian Journal of Scientifics Research, pp. 293-297, 2018.
DOI: http://dx.doi.org/10.52155/ijpsat.v36.2.4927
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