Some multiplication properties of M2x2(F)


  • Dr. Najmaddin Hama Gareb Department of Mathematics, School of Science Education, University of Sulaimani, Kurdistan Region, Iraq. Author



Multiplication commutative of two by two matrices over a field F


This work is divided into two parts; first we find all matrices which commutative with any given matrix, and second devoted to some multiplication commutative properties of M2x2(F), where F is a field. Moreover some cases which the ring M2x2(F) become commutative are studied.


Kolman B. and David R., Elementary Linear Algebra, 7th Edition, 2000, prentice-Hall, DOI:

New Jersey.

Nielsen H.A. , Elementary Commutative Algebra, 2005, Department of Mathematical

Sciences-University of Aarhus.

Artin M. , Algebra, 1991, Prentice-Hall, Printed in India by Anand Sons.

Drazin, M. P.; Dungey, J. W.; Gruenberg, K. W. , Some Theorems on Commutative

Matrices, 1951, J. London Math. Soc. 26 (3): 221–228, doi:10.1112/j1ms/s1-26.3.221. DOI:

Suprunenko D. and Tyshkevich R., Commutative Matrices, Translated by Scripta

Technica, Inc, 1968, Academic Press New York and London.

Feit, W. and Fine, N. J., Pairs of Commuting Matrices over Finite Field, 1960, Duke DOI:

Math. J. 27, No.1, 91-94.

Hamburger, H.L., A Theorem on Commutative Matrices, 1949, J. London Math, Soc. 24, DOI:




How to Cite

Some multiplication properties of M2x2(F). (2014). Journal of Zankoy Sulaimani - Part A, 16(4), 139-147.

Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 10 > >>