  A necessary condition for a connection in a vector bundle to be locally
metric is for its curvature matrix, which consists of $2$ forms, to be skew
symmetric with respect to some local frame. In this paper we give a simple
algorithm that can be used to decide when a matrix of $2$ forms is equivalent
to a skew symmetric matrix. We apply this algorithm to verify whether a "{\it
full rank}" curvature connection is locally metric.
