%0 Journal Article
%T Trace of Positive Integer Power of Real 2 × 2 Matrices
%A Jagdish Pahade
%A Manoj Jha
%J Advances in Linear Algebra & Matrix Theory
%P 150-155
%@ 2165-3348
%D 2015
%I Scientific Research Publishing
%R 10.4236/alamt.2015.54015
%X The purpose of
this paper is to discuss the theorems for the trace of any positive integer
power of 2 กม 2 real matrix. We obtain a new formula to compute trace of any
positive integer power of 2 กม 2 real matrix <i>A</i>,
in the terms of Trace of <i>A</i> (Tr<i>A</i>) and Determinant of <i>A</i> (Det<i>A</i>), which are based on definition of trace of matrix and
multiplication of the matrixn times, where <i>n</i> is positive integer and this formula gives some corollary for Tr<i>A<sup>n</sup></i> when Tr<i>A</i> or Det<i>A</i> are zero.
%K Trace
%K Determinant
%K Matrix Multiplication
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=61733