VARIOUS APPLICATIONS OF LINEAR ALGEBRA H.A. Parhusip Satya Wacana Christian University Jl. Diponegoro 55 -60 Salatiga 50711 firstname.lastname@example.org ABSTRACT Various applications of linear algebra are presented here. Undergraduate students in mathematics are mainly have no enough background in integrating linear algebra from different subjects and have difficulties to deal with data for applying linear algebra. On the other hand, students have learnt many properties in linear algebra but students are lacking to work with in practical sense. Therefore this paper shows some guidelines to handle this problem through some examples taken from some researchs on linear algebra by using data from surrounding. Multivariate regression is introduced which is used to fit closing stock prices as an example. QR decomposition is recalled in order to solve a linear system with no solution in the classical linear algebra lectures. Modelling on stevioside with a two dimensional quadratic function, logistic model of crown diameter of Kailan, discriminant analysis of foods, protein content of beans, Belousov-Zhabotinsky (BZ) reaction as a model on differential equations are some examples shown on this paper. These applications are mainly dealt with parameters determination that lead to linear system and nonlinear system. Least square and Newton method are the basic used methods in this paper which are solved by fmincon and lsqnonlin and provided by MATLAB. One needs to know a particular software language (such as MATLAB, R) to reinvent the results in this paper. Keywords: least square, positive definite, convex-nonconvex functions,discriminant analysis, matrix covariance, eigenvalues-eigenvectors.
Pages to are hidden for
"VARIOUS APPLICATIONS OF LINEAR ALGEBRA"Please download to view full document