Trace of Negative Integer Power of Real 2x2 Matrices

Ankita Prajapati, Sateesh Thadani

Abstract: The purpose of this paper is to discuss the theorems for the trace of any negative integer power of 2 × 2 real Matrix. We obtain a new formula to compute trace of any negative 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 matrix n times, where n is Negative integer and this formula gives some corollary for Tr A^n when TrA or DetA are zero.

Keywords: Trace, Determinant, Matrix Multiplication

How to Cite?: Ankita Prajapati, Sateesh Thadani, "Trace of Negative Integer Power of Real 2x2 Matrices", Volume 8 Issue 7, July 2019, International Journal of Science and Research (IJSR), Pages: 1682-1683, https://www.ijsr.net/getabstract.php?paperid=ART20199805, DOI: https://dx.doi.org/10.21275/ART20199805