PPT-Solving Linear programs using excel

Dr Ron Lembke Formulating in Excel Write the LP out on paper with all constraints and the objective function Decide on cells to represent variables Enter coefficients of each variable in each constraint in a block of cells. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Microsoft Excel Matrix functions Microsoft Excel provides matrix functions for calculation purposes MINVERSE Invert a matrix MMULT Multiply two matrices together MDTERM Calculate the determinant of a specified array When solving simultaneous equatio Let be some operator and a vector If does not change the direction of the vector is an eigenvector of the operator satisfying the equation 1 where is a real or complex number the eigenvalue corresponding to the eigenvector Thus the operator will o (TKK-2144). 13/14 . Semester 1. Instructor: Rama . Oktavian. Email: rama.oktavian@ub.ac.id. Office Hr.: M.13-15, W. 13-15 Th. 13-15,. F. 13-15. Outlines. . 1. . Interpolation: Basic Theory. . 2. . Recurrence Relations. ICS 6D. Sandy . Irani. Recurrence Relations. to Define a Sequence. g. 0 . = 1. For n . 2, . g. n. = 2 g. n-1. + 1. A . closed form solution . for a recurrence relation, gives the n. Reals. Dana . Moshkovitz. , MIT. Joint work with . Subhash. . Khot. , NYU. We propose an approach for proving the . unique games conjecture . by studying the hardness of approximately solving . real. Michael D. Smith. Lycoming College. January 8, 2016. Outline. Why I chose Excel. When I teach Excel. How I teach Excel. First Reason for Using Excel. I allow my students to swap labeled columns in a matrix. . Some of these recurrence relations can be solved using iteration or some other ad hoc technique. . However, one important class of recurrence relations can be explicitly solved in a systematic way. These are recurrence relations that express the terms of a sequence as linear combinations of previous terms.. Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. by . Graphing. Key Terms:. A system of two linear Equations – in ____ variables x and y, consist of two linear equations. . Solution – consist of an order pair_____ .. Two Types:. Consistent – At least one Solution. Solving LPs. Need a more formal method. How to find points to solve for?. A picture is worth a thousand words. Standard Form. Linear programs are written the following way: . Max . 20 S. . 25 T. . Section . 3.2a. 8/10/2012 8:57 PM. 3.2a - Solving Systems through Substitution. 1. Steps in Substitution. SOLVE. . for one equation into one variable. REPLACE. . one equation into other equation. SUBSTITUTE. The Benefits of Reading Books,Most people read to read and the benefits of reading are surplus. But what are the benefits of reading. Keep reading to find out how reading will help you and may even add years to your life!.The Benefits of Reading Books,What are the benefits of reading you ask? Down below we have listed some of the most common benefits and ones that you will definitely enjoy along with the new adventures provided by the novel you choose to read.,Exercise the Brain by Reading .When you read, your brain gets a workout. You have to remember the various characters, settings, plots and retain that information throughout the book. Your brain is doing a lot of work and you don’t even realize it. Which makes it the perfect exercise! The Benefits of Reading Books,Most people read to read and the benefits of reading are surplus. But what are the benefits of reading. Keep reading to find out how reading will help you and may even add years to your life!.The Benefits of Reading Books,What are the benefits of reading you ask? Down below we have listed some of the most common benefits and ones that you will definitely enjoy along with the new adventures provided by the novel you choose to read.,Exercise the Brain by Reading .When you read, your brain gets a workout. You have to remember the various characters, settings, plots and retain that information throughout the book. Your brain is doing a lot of work and you don’t even realize it. Which makes it the perfect exercise!