linear_solve Calculates the solutions x (vector) of a linear equation system of the form "Ax = b" with "A" being a matrix, "b" a vector and the solution "x" a vector. Due to implementation limitations, "A" must be a quadratic matrix and "b" must have a dimension that is equivalent to that of "A". Furthermore, the determinant of "A" must be non-zero. The algorithm used is devised from Cramer's Rule and thus inefficient. The preferred algorithm for this task is Gaussian Elimination. If you have a matrix and a vector of real numbers, please consider using either Math::MatrixReal or Math::Pari instead.