Linear algebra is an active branch of mathematics research because occupies a central place in almost all areas of mathematics and also it has important applications in all branches of applied sciences. However, linear algebra courses is indispensable for postgraduate studies and research or application in the real world.
These notes deepend the course syllabus and linear algebra seminar held by the author of the first year students of the Faculty of Cybernetics, Statistics and Economic Informatics of the Bucharest University of Economic Studies.
The material is developed completely from scratch, in order to use it has a study guide individually or as a reference book, but at a much faster rate than linear algebra studied in high school. Issues discussed form a significant part of the material, always preceding theorems, and most of them are completely solved to illustrate the theory as well.