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Introduction to Matrices andAlgebraic SystemsVersion 1.0 - 2016/03/04Introduction to Matrices and Linear SystemsPREFACEMatrices and algebraic systems have a wide area of application in engineering andexact sciences. There is a great variety of books about this theme. However, manytimes the person interested in using these techniques for application has a lot ofdifficulty in finding what he needs. This happen, mainly due to the fact that thegreat majority of books available gives more emphasis to the inherent logicalstructure formalism than to the physical interpretation of the said theories.This notebook had its origin in lecture notes used to complement twoundergraduate courses given by the author. The choice of the themes chosen herewere guided by the students necessity in obtaining familiarity with those topics ofmatrices and algebraic systems that were used more frequently in the practicalsolution of exact sciences problems without much worry about the formalisminherent in its logical structure. It is also presented here, as far as possibleapplications of the exposed themes the solution of practical problems.Much care was taken in order to present the subject here in the most simple andintuitive manner as possible. In some cases there is an excess of detail that mayeven look redundant. The intention of such an approach was to avoid theomission of algebraic details and make the assimilation of the exposed topics hereexplained as easy as pos ...


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