I am puzzled by this. If you are expected to be able to do problems like (b) and (c) here, surely you should know what an "augmented matrix" is.
(b) Use standard Gaussian elimination on this augmented matrix so that the pivot rows are of the form
where entries marked with a star are to be determined. Enter the matrix of pivot rows below.
(c) Hence find the solutions of the original system for x, y, z.[/QUOTE]