Downloads: 144 | Views: 214 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper | Mathematics | India | Volume 8 Issue 7, July 2019

Trace of Negative Integer Power of Real 2x2 Matrices

Ankita Prajapati ^[2] | 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

Edition: Volume 8 Issue 7, July 2019,

Pages: 1682 - 1683