Title of article :
A New Method for Computing Determinants By Reducing The Orders By Two
Author/Authors :
Bayat ، Morteza - Islamic Azad University, Zanjan branch , Teimoori ، Hossein - Allameh Tabatabai University of Tehran
Abstract :
In this paper we will present a new method to calculate determinants of square matrices. The method is based on the Chio-Dodgson’s condensation formula and our approach automatically affects in reducing the order of determinants by two. Also, using the Chio’s condensation method we present an inductive proof of Dodgson’s determinantal identity.
Keywords :
Chio’s condensation Method , Dodgson’s Condensation Method , determinants , determinantal identity , Laplace expansion
Journal title :
Caspian Journal of Mathematical Sciences
Journal title :
Caspian Journal of Mathematical Sciences