In the learning of Linear Algebra there are conceptual and cognitive difficulties. The first ones come from the very nature of the subject, because the concepts are abstract and a variety of languages are used to represent them. The second emerge from the neccessary type of thinking for the understanding of these concepts. This book proposes a development of contents that makes an assembly of the use of different languages and representations. Problems are set out where the need for each language and / or representation becomes evident, so that it approach is closer to the previous notions of the student. It presents a wide variety of problems that allow the integration of different concepts and induce differentiated forms of work.