Uma análise sobre a Matriz de Leslie aplicada ao crescimento populacional dos estados de Goiás e Tocantins e do Brasil

Abstract

In this paper we present an application model of Linear Algebra, called Leslie matrix, with the objective of presenting the female population growth of a given chosen population. In this way, we take definitions and theorems related to the eigenvalues and eigenvectors of a square matrix, as well as the diagonalization of square matrices, in which we seek to show how the Leslie matrix model, the Leslie matrix, behaves to calculate this growth of this population. Specifically, through the Leslie matrix, we will analyze the projection of the female population of Brazil and the states of Goi´as and Tocantins, in certain years and age groups of the populations.