Álgebra linear no Enade: questões comentadas de espaços vetoriais e transformações lineares

Abstract

This study aims to explore the concepts of Linear Algebra and relate the comprehensive development of the contents with the resolution of ENADE questions, which are given in a contextualized way in order to explore academic competencies in higher education students. To carry out this study, the main definitions and their properties present in Linear Algebra were addressed, such as Vector Space, Subspace, Linear Transformations, among others presented, based on references, such as Hoffman and Kunze (1970), Anton and Rorres (2012) and the Enade Reports, among others. For the construction of this study, an analysis of the questions of previous Enade tests was carried out, with the objective of identifying and selecting questions that involved Algebra, and we addressed the Enade questions related to the Mathematics Degree course, solving the selected questions in the area of Linear Algebra in detail, then linking with results obtained in the ENADE reports throughout the Mathematics Degree course – Campus IV. the study is important for the construction of solid foundations, that is, the development of the understanding of the contents that make up each area of knowledge, as a facilitator to develop questions, which can be extended to various areas of Mathematics.