A Study on the Computation of the Determinants of a 3x3 Matrix

Awol Assen, J. Venkateswara Rao

Abstract: This manuscript endow with a new method to compute the determinants of a 3x3 matrix by describing only five entries of the determinants; where it is created a new easy scheme to compute. The main advantage of this method when compared to the other known methods (The Permutation Expansion; Sarruss Rule; Triangles rule; expansion by the elements of whatever row or column; Chios condensation and Dodgsons condensation) is it is very fast (like Dardan Hajrizaj new method) to compute the determinants of a 3x3 matrix and it is very easy to use.

Keywords: Determinant of a matrix, Permutation, Condensation method, Sarrus, Cofactor