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The main objective of this material is to have a friendly and digestible narrative for all those colleagues who begin in the wonderful and enriching teaching career, teaching topics related to Linear Algebra for the area of engineering and that likewise serves the student to understand in a more friendly way in a less dense language in technical terms, the topics, concepts and methods of linear algebra. Linear Algebra is an essential part of the mathematical training of every scientist, administrator and engineer, since its applications are numerous in the areas of physics, chemistry, biomedical engineering, computer graphics, image processing, process optimization, among many others. In the content of this material you will find the following topics: 1. Introduction to Algebra, 2. What is Linear Algebra? and 3. Methods for the solution of Systems of linear equations.