A New Algorithm for Evaluating Determinants -- The Reduction Method

Abstract

We present here a new method for evaluating determinants -- the reduction method. Firstly, in the section 2, we apply it to third-order determinants and after, in the section 3, we generalize it to higher-order determinants. In the section 4 an alternative formulation of the reduction method is presented and, in the section 5, we give the respective mathematical proofs.

arXiv commentThe relationship between this work and that of the mathematicians C. L. Dodgson and F. Chiò it is presented in the Addendum