Trace of Positive Integer Power of Real 2 × 2 Matrices ()

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* (Tr*A*) and Determinant of *A* (Det*A*), 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 Tr*A*^{n} when Tr*A* or Det*A* are zero.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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