Carl Gustav Jacob Jacobi (1804-1851) gave an indirect method for finding the solution of a system of linear equations, which is based on the successive better approximations of the values of the unknowns, using an iterative procedure. The sufficient condition for the convergence of Gauss Jacobi method to solve Ax=b is that the coefficient matrix A is strictly diagonally row dominant.
Assumption: :

• The system of linear equations to be solved, must have a unique solution.
• There should not be any zeros on the main diagonal of the coefficient matrix A.In case, there exist zeros on its main diagonal, then rows must be interchanged to obtain a coefficient matrix that does not have zero entries on the main diagonal.