R is a language and programming environment for Mathematical, statistical and graphical analysis. It is a free software project, the result of the GNU implementation of the classic scientific language S-Plus. R and S-Plus are probably the two most widely used languages in research by the statistics community, and are also very popular in the field of biomedical research, bioinformatics and financial mathematics. The possibility of loading different libraries or packages for specific calculation or graphic purposes contributes to this. R provides a wide range of statistical tools (linear and non-linear models, statistical tests, time series analysis, classification and clustering algorithms, etc.) and graphics. This book delves into the most classic topics of linear algebra such as matrix algebra, vector spaces, linear applications, quadratic forms, complex variable