  We use earlier defined notion of $n$- determinant to investigate
sub-determinants of an extended Vandermonde matrix. Firstly, we demonstrate our
method on a number of particular cases. Then we prove that all these results
may be stated in terms of Schur's polynomials. In our main result, we prove
that Schur polynomials are equal to minors of a fixed matrix, which entries are
formed of elementary symmetric polynomials. Such a formula is known as the
second Jaccobi-Trudi identity.
