International Journal of Advances in Scientific Research and Engineering-IJASRE

TRACE OF INTEGER POWER OF REAL 3 X 3 SPECIFIC MATRICES

Article Category: Applied Mathematics

DOI: 10.31695/IJASRE.2019.33099

Pages: 48-56

Author: Rahmawati,Wartono,Marhama Jelita

Abstract: Trace matrix is the sum of the main diagonal elements of a square matrix. This study discusses the trace of a positive and negative integer power of a real  3 X 3 specific matrix as given in (2). In order to get the trace of negative integer power, the matrix must have an inverse. Determinant and inverse of the matrix are required to generate general formula of the trace negative integer power. Result in this paper, we obtain the general formula of the specific matrix trace with dimension 3 X 3  in positive integer power denoted by Tr (A3n)    or in negative integer power denoted by  Tr (A3-n). The general formula of Tr (A3n)    and Tr (A3-n)    separated into two, for odd and even integers n.

Keyword: Determinant, Inverse, Multiplication of matrix, Power of matrix, Trace.

This work is licensed under a Creative Commons Attribution 4.0 (International) Licence. (CC BY-NC 4.0)
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