Vandermonde determinant invariance under monic basis change
= Vandermonde determinant invariance under monic basis change
{c}
Evaluating arbitrary <monic polynomials> of successive degrees $0,\ldots,m-1$ gives the same <determinant> as evaluating the monomials of those degrees. The basis-change <matrix> is triangular with diagonal entries one, so its <determinant> is one. This permits an <orthogonal polynomial> basis to replace the monomials in <eigenvalue> densities.