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Systems of Linear Equations

With this chapter, we begin our study of systems of linear equations. The small innocent-looking problem Ax = b appears in so diverse fields of quantitative analysis in all disciplines, sometimes with its own banner and more often by proxy as an essential step in larger problems, that it is essential for every student of science, engineering and of many other disciplines to develop a reasonable level of mastery over the problem and its solution methods. This is one area of applied mathematics that has been quite adequately researched upon and methodologies for all kinds of situations have been developed, yet efficacy and efficiency issues in application areas call for a combination of theoretical background and technical ...

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