I have a system of Linear Simultaneous Equations with n variables. I have solved the equations for particular values of co-efficients of variables & R.H.S. values. Now I am maintaining the co-efficients of variables same & just changing the R.H.S. values. So is there a method of computing the solution of this set of equations from the solution of previous set of equations?
In short, $E_1$: $[A][X] = [B]$ Now equations are solved & solution set $[X]$ is computed. $E_2$: $[A][X] = [C]$ Now how do I compute new solution set $[X]$ using previous solution set? If there is a method to do this quickly compared to again solving the equations then it will be very beneficial to me. Thank You.