application of matrix in programming

Transportation Problem - Goods have to be transported from sources (like factories) to destinations (like warehouses) on a regular basis. The transportation problem deals with minimising the costs in doing so. Linear programming effectively deals with this proble..

A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpower manage..

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(a). Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, th..

Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, this techni..

Some of the methods of linear programming are: The Graphical Method The Analytical Method The Simplex Method In the graphical method, the constraints are actually drawn as straight lines and the optimal solution is found. This method is explained in detail later. The graphical method is n..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0), Non Homogenous Equations (Solution by ..

So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective function Z, then we say that these values of x i are the ..

We are already familiar with graphical reorientation of linear equations and inequations. This chapter describes the application of linear equations and inequations in solving different kinds of practical problems. Let us consider few examples to understand what we mean by linear pro..

We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method e..