1.
If
 then n is equal to
2.
The determinant is equal to zero for all values of if
3.
The system of equations



have no solution, if equals
4.
, where then is equal to
5.
If then is equal to
6.
=0, then
7.
8.
Using the factor theorem it is found that and are three factors of the determinant
The other factor in the value of the determinant is
9.
The arbitrary constant on which the value of the determinant does not depend, is
10.
If is imaginary root of unity, then the value of