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{\course}\hfill {Russell Brown}\\ 
{\semester} \hfill {Project Description}
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In this project, you are asked  to write a description of the
Gauss-Jordan algorithm for solving linear equations.  You should
assume that the reader of your description knows about systems of linear
equations and the row or equation operations that we discussed in
class.  Thus, your goal is to indicate which equation operations need
to be carried out in the Gauss-Jordan method.  Please note that you
are to describe the Gauss-Jordan method and not some other the method.
The purpose of this project is to make sure that each student in the
class knows  the Gauss-Jordan algorithm. This algorithm and its
variants are one of the most important computational tools in
mathematics. 

\hd{What I expect}   You should work in a group, if possible. I suggest
groups of 2 to 4 students.  Each group should turn in a written report
which will be 2 to 5 pages long.  I do not require that it be
typed. (In fact, typing mathematics is a very difficult task due to
the peculiar ways that equations are  formatted. Thus, I suggest
that you prepare a handwritten report.)   Your report should include a
complete description of the Gauss-Jordan algorithm, supplemented by a
completely worked out example.  Your example must illustrate why
switching rows is sometimes necessary.    You must choose if you wish to
write a narrative description,  give a list of steps or some
combination of the two.  

\hd{Grading}  You will be graded on your writing and  the correctness
and clarity of 
your description.  As indicated above, your example must illustrate
why switching rows is sometimes necessary. Of course, points will be
deducted for errors in grammar, spelling and arithmetic.     All
students in a group will receive the same grade.


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