System of bilinear equations

In mathematics, a system of bilinear equations is a special sort of system of [polynomial equations], where each equation equates a bilinear form with a constant. More precisely, given two sets of variables represented as coordinate vectors and y, then each equation of the system can be written where, is an integer whose value ranges from 1 to the number of equations, each is a matrix, and each is a real number. Systems of bilinear equations arise in many subjects including engineering, biology, and statistics.