  If $I$ is a perfect ideal in a local Cohen-Macaulay ring, the generators of
ideals linked to $I$ are well understood. However, the generators of the
residual intersections of $I$ have only been computed in a few special cases.
In this paper, we show that the $n$-residual intersections of determinantal
ideals of generic $2\times n$ matrices are sums of links.
