International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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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


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How to Cite this Article?

Ankita Prajapati, Sateesh Thadani, "Trace of Negative Integer Power of Real 2x2 Matrices", International Journal of Science and Research (IJSR), Volume 8 Issue 7, July 2019, pp. 1682-1683, https://www.ijsr.net/get_abstract.php?paper_id=ART20199805

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