Hossein Faal - Department of Mathematics and Computer Science, Allameh Tabatabai University of Tehran
Morteza Bayat - ‎Department of Mathematics, Zanjan Branch‎, ‎Islamic Azad University‎, ‎Zanjan‎, ‎Iran

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.

Chio s condensation Method, Dodgson s Condensation Method, determinants, determinantal identity, Laplace expansion