Dr. Najmaddin Hama Gareb

Department of Mathematics, School of Science Education, University of Sulaimani

**Abstract**

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.

**Keywords:**Multiplication commutative of two by two matrices over a field F.

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