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Published on Dec 21, 2011
Systems of linear equations are ubiquitous to mathematicians. A recent author claims that "[w]ell over 75 percent of all mathematical problems encountered in scientific or industrial applications involve solving a linear system at some stage." At Adams State College, they appear in the course descriptions of at least seven mathematics courses, including two general education classes. We will look at some of the historical problems that spurred the development of solution algorithms, investigate some of the theory that has been derived from the study of these systems, and describe some of their modern uses.