A New Method for Computing Determinants By Reducing The Orders By Two

Document Type : Research Articles

Authors

1 Department of Mathematics, Zanjan Branch,Islamic Azad University, Zanjan, Iran

2 Department of Mathematics and Computer Science, Allameh Tabataba'i 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.

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