TITLE:
Trace of Positive Integer Power of Real 2 × 2 Matrices
AUTHORS:
Jagdish Pahade, Manoj Jha
KEYWORDS:
Trace, Determinant, Matrix Multiplication
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.5 No.4,
December
7,
2015
ABSTRACT: The purpose of
this paper is to discuss the theorems for the trace of any positive integer
power of 2 × 2 real matrix. We obtain a new formula to compute trace of any
positive integer power of 2 × 2 real matrix A,
in the terms of Trace of A (TrA) and Determinant of A (DetA), which are based on definition of trace of matrix and
multiplication of the matrixn times, where n is positive integer and this formula gives some corollary for TrAn when TrA or DetA are zero.