I'm new to Mathematica and am teaching an applied linear algebra course.  We start off doing elementary row operations on an augmented matrix to solve a system of equations.  I know about the RowReduce command, but that does all the row operations at one time.  I'd like for my students to be able to do them one-by-one so that they get the experience of thinking about what they should do next, but don't get bogged down in the arithmetic.  So, my question is: what is the easiest way to do each of the three types of elementary row operations?  (The Maple version is described here: http://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/RowOperation&term=rowoperation).