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.
Cite this paper
Pahade, J. and Jha, M. (2015) Trace of Positive Integer Power of Real 2 × 2 Matrices. Advances in Linear Algebra & Matrix Theory, 5, 150-155. doi: 10.4236/alamt.2015.54015.
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