Section 14.3 History
This is an award-winning site that links to all sorts of mathematics information.
http://archives.math.utk.edu/
Gauss:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Gauss.html
Jordan:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Jordan.html
This site, entitled "Matrices and Determinants," is listed here under the history subsection
because of its excellent review of the history of solving systems of equations using matrices.
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Matrices_and_determinants.html