  The complete, nonperturbative content of random matrix models is described by
resurgent-transseries -- general solutions to their corresponding
string-equations. These transseries include exponentially-suppressed
multi-instanton amplitudes obtained by eigenvalue tunneling, but they also
contain exponentially-enhanced and mixed instanton-like sectors with no known
matrix model interpretation. This work shows how these sectors can be also
described by eigenvalue tunneling in matrix models -- but on the non-physical
sheet of the spectral curve describing their large-N limit. This picture
further explains the full resurgence of random matrices via analysis of all
possible eigenvalue integration-contours. How to calculate these "anti"
eigenvalue-tunneling amplitudes is explained in detail and in various examples,
such as the cubic and quartic matrix models, and their double-scaling limit to
Painleve I. This further provides direct matrix-model derivations of their
resurgent Stokes data, which were recently obtained by different techniques.
