From the description of the first and last element of the second row and the first and last
elements of the second column of the determinants will form Scheme 3. Respectively, first and
last elements of first and last columns will form Scheme 4. Respectively, first and last elements
of first and last rows will form Scheme 5. The terms, which will be formed by the products of
diagonal elements in the right side in three schemes 3, 4 and 5 become “−” sign and those in
the left side become “” sign. In this way we get the Hajrizaj rule, which are valuable just to
compute the determinants of the third order. In base of the Hajrizaj rule we have: