This scheme will be formed of six diagonals with three different elements of determinants. The elements products in three diagonals in left side will get the “+” sign, in the other hand the elements products in three other different diagonals in right side will get “-“sign. This will produce three terms with “+”sign and three other terms with “-“sign, which in fact presents the definition formula to compute the determinants of third order. This new method consists of two other schemes, which will be formed in the same way like the preliminary scheme (Scheme 5) but these two other different schemes manipulate with elements in other rows and columns from the Scheme 5. The other forms of this method are shown in the following schemes