Trace of Negative Integer Power of Real 2x2 Matrices
Journal: International Journal of Science and Research (IJSR) (Vol.8, No. 7)Publication Date: 2019-07-05
Authors : Ankita Prajapati; Sateesh Thadani;
Page : 1682-1683
Keywords : Trace; Determinant; Matrix Multiplication;
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.
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