If we compare these results with the results of other methods used before (definition of
determinants, expansion by the elements of what
ever row or column, Chio’s condensation), we
will see that the results are the same.
The results acquired by using the “New Met
hod to Compute the Determinant of a 4x4
Matrix” are entirely equal with the results acqui
red by the other known methods until now. In
base of this, we can conclude that this new method to compute the determinants of forth order is
true and can be used only for the forth order determinant.
The results achieved with this method are based on the Sarru’s rule used for computing
the third order determinants. Using some combinations it is achieved that this method is
applicable for the forth order determinants.