A method to calculate determinants, with computer algorithm interpretation

In this paper we present the new algorithm to calculate determinants of nth order using Rezaifar's method of reducing the order of determinants to second order. We have implemented the Dodgson's algorithm within Rezaifar's method to calculate sub matrices and developed a new method. Within the paper we have also developed the computer algorithm to calculate the determinant using this new method. While comparing the computer execution time with the Rezaifar's method, we have seen that this new algorithm presented is executed faster.