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SOME CONDITION REGARDING TO COMMUTING AND NON COMMUTING EXPONENTIAL MATRIX

Mohammed Abdullah Salman

Department of Mathematics & Statistics, Yeshwant Mahavidyalaya, Swami Ramamnand Teerth Marthwada University, Nanded, India.

V C Borkar

Department of Mathematics & Statistics, Yeshwant Mahavidyalaya, Swami Ramamnand Teerth Marthwada University, Nanded, India.

107-118

Vol: 6, Issue: 2, 2016

Receiving Date: 2016-03-07 Acceptance Date:

2016-04-05

Publication Date:

2016-05-08

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Abstract

Accordingly to the previous paper for authors [1]. The exponential function defined on noncommutative algebra but does not occur in the general form of equation x y x y e  e e  . In this paper we define the conditions for which this equation is valid in M(2,R) , it will show it more easily and it shows some science achievements over 50’s.

Keywords: Matrix Exponential, Commuting Matrix, Non-commuting Matrix

References

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