Solving of Determinants with Functional Graphs
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At the last ten years a matrix determinant discovered itself in wide use advantageously in Linear Programming at solving of extreme tasks joined with planned of manufacture, effective management in industry and optimization of freightage transportation . And besides the above-named parameter presents in some other fields of mathematical research works in designing of some algorithms and formulas for evaluation of the matrices determinants which could be fit for solving of system linear algebraic equations and also the multiple regression models advantageously in such fields ,as engineering, education, economics, food research ,psychology, sociology and statistics. And for this reason today appeared necessity of analysis the well-known methods which are fit and useful for evaluation of the matrices determinants and also of their modifications (symmetric and skew ) with goal to minimize the calculation procedure. This could be achieved by using the special algorithms, formulas and functional graphs for the given matrix in solving of any determinants than then to define the unknown coefficients, incoming to the different mathematical models………”
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About the Book
The content of this book is related to a specific topic in linear algebra advantageously to the matrix determinant. The main objective of this book to reduce the calculation processes for matrices determinants 3≤n≤6 with application of functional graphs on base of expansion and Laplace methods. In this book is included many extensive exercises that can assist students to solve of some complex problems in process of evaluation the determinants with use of functional graphs. Special features of this book include the following: • Guide to the use graphs for matrices determinants • Solving of determinants for matrices 2≤n≤3 • General algorithms for evaluation of determinants with matrices 4≤n≤6 • Functional graphs and algorithms for symmetric and oblique (skew) determinants
About the Author
Anatoly Rozenblat, as the independent scientist and inventor, has received the fundamental technical and arts education in Odessa Institute of Marine Engineers, Polytechnic Institute, and Chicago East-West University, specializing in mechanical (manufacturing) engineering, patent affairs, and computer science. As an independent scientist, he was invited on twenty-sixth, twenty-seventh, twenty-eighth, and twenty-ninth Israel conferences on mechanical engineers and presented eight new technical papers. Anatoly Rozenblat published twenty-two books and possesses thirty innovations in various aspects of technology. He has received numerous awards from International Biographical Center (England, Cambridge), ABC (USA), and Marquis Who’s Who in America.