Advances in Linear Algebra & Matrix Theory

Volume 5, Issue 4 (December 2015)

ISSN Print: 2165-333X   ISSN Online: 2165-3348

Google-based Impact Factor: 0.11  Citations  

Trace of Positive Integer Power of Real 2 × 2 Matrices

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DOI: 10.4236/alamt.2015.54015    8,086 Downloads   11,906 Views  Citations

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.

Share and Cite:

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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