So what I implied in the last video, and I didn't show it to you rigorously, is that any solution to the inhomogeneous system-- let me write it this way, any solution-- and do it in white-- that's not white-- any solution to the inhomogeneous system Ax is equal to b, this is a claim I made, will take the form-- some particular solution-- that was this right here, maybe I should do it in green-- this is this right here-- When you do the reduced row echelon form, it becomes that b prime vector.