High Quality Content by WIKIPEDIA articles! In mathematics, persymmetric matrix may refer to: 1. a square matrix which is symmetric in the northeast-to-southwest diagonal; or 2. a square matrix such that the values on each line perpendicular to the main diagonal are the same for a given line. The first definition is the most common in the recent literature. The designation "Hankel matrix" is often used for matrices satisfying the property in the second definition.