👉 Foenicke's rule is a mathematical technique used to estimate the number of solutions to a system of linear equations. It involves the use of a finite element method and is named after Jean-Baptiste Fourier, who proposed it in 1826. In this technique, the solution to a system of linear equations can be estimated by considering the determinant of a matrix formed from a finite set of vectors that represent the coefficients of the equations. If the rows and columns of this matrix are orthogonal