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Real World Applications of Linear Algebra University: Name: Linear programming Linear programming (linear optimization) is a technique used to achieve the best outcome (Sierksma 2001). The best outcome can be the lowest cost or highest profit for a given process. Linear algebra is used in computing a system of linear equations. To achieve the best output an objective function is represented in a linear model and it is either maximized or minimized subject to linear inequality constraints that represent the independent variables according to Sierksma (2001). In the real world resources are scarce thus the need to achieve optimal solutions for maximizing profits or minimizing costs is crucial in every aspect of life. Leontief input-output model In economics linear algebra is used in input- output models. According to Dietzenbacher world applications. Other applications of linear algebra include; Study of genetics coupled oscillations elimination theory geometry graph theory image compression networks and the Fibonacci numbers among others. Reference Anton H. and C. Rorres (2000). Elementary Linear Algebra: Applications Version 8th ed. New York: John Wiley & Sons Inc. Dietzenbacher Erik and Michael L. Lahr Wassily (2004). Leontief and Input-Output Economics. Cambridge University Press. Friedberg S.H. Insel A.J. Spence L.E.(2003) Linear Algebra 4th edition Prentice Hall. G.Bolch S.Greiner H.de Meer and K.S.Trivedi (2006). Queuing Networks and Markov Chains John Wiley 2nd edition. ISBN 978-0-7923-9650-5. Gerard Sierksma (2001). Linear and Integer Programming: Theory and Practice Second Edition. CRC Press. p. 1. ISBN 978-0-8247-0673-9. Miller Ronald E. and Peter D. Blair (2009). Input-Output Analysis: Foundations and Extensions 2nd edition. Cambridge University Press. [...]

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I am needing an essay written on the real life uses of linear algebra. It will be based on the attached outline but can be expanded upon. It also must tie into my strand papers (I will attach after I have chosen a writer). Also, it must meet the standards provided in the attached rubrics for the strand paper and final document.

Subject Area: Mathematics

Document Type: Reports