The subject of linear algebra originated more than 2000 years ago in an effort to develop tools for modeling real world problems in the form of systems of linear equations, and to solve and analyze these problems using those models. Linear algebra and its twentieth cen- tury extensions, linear and integer programming, are the most useful and most heavily used branches of mathematics. A thorough knowledge of the most fundamental parts of linear algebra is an essential requirement for anyone in any technical job these days in order to carry out job duties at an adequate level. In this internet age with computers playing a vital and increasing role in every job, making the most effective use of computers requires a solid background in at least the basic parts of linear algebra.