$s$ and for $L_{i,j}$ generic, the matrix $Z_s$ is 1-generic. Then by Corollary 3.3 of [@ei88] $$codim\: I_t(Z_s)\geq 2(t+1)-1-2(t-1)=3.$$ Hence $Z_s$ defines an aCM scheme $D_s$ of codimension three, whose graded Betti numbers are the same as those of $C$ and of $V$ (this follows from [@br88], Theorem 3.5). In particular the Hilbert polynomial of $D_s$ is the same for all $s$.

The Veronese surface $V\subseteq{\mathbb{P}}^5$ is an example of a non standard determinantal scheme from the family of Proposition \[symm\]. In the next example we show that a general hyperplane section of $V$ is a good determinantal curve.

\[vero\] The Veronese surface $V\subseteq{\mathbb{P}}^5$ is an example from the family of Proposition \[symm\], for $t=2$. Its homogeneous saturated ideal is the ideal $$I_V=I_2\left(\begin{array}{ccc} x_0 & x_1 & x_2 \\
x_1 & x_3 & x_4 \\ x_2 & x_4 & x_5 \end{array}\right)$$ $I_V\subseteq S=k[x_0,\ldots,x_5].$ Its general hyperplane section is a reduced and irreducible arithmetically Cohen-Macaulay curve $C\subseteq{\mathbb{P}}^4$ of degree $4$, hence a rational normal curve. In particular, a general hyperplane section of $V$ is good determinantal, with defining matrix equal to (after a change of coordinates and invertible row and column operations) $$\left(\begin{array}{cccc}  x_0 & x_1 & x_2 & x_3 \\
