The goal of the course is to explain the fundamental ideas of linear algebra and how to use them to find easy solutions of hard problems.
The goal of this course is to help you to find and understand the building blocks of linear algebra. Moreover, it is important to develop personal vision and intuition about them. This cannot be achieved by solving 1000 similar typical exam problems.
In this course you will be provided with a sort of "minimal linear algebra kit", so that you can manage the saved time yourself. In particular, you are encouraged to discuss the lessons here at stepic, to participate in competitions and other events at your campus, and to surf web resources such as math.stackexchange.com, mathoverflow.net, arxiv.org and of course Wikipedia. If you are enrolled in a traditional course of linear algebra, you will benefit from this course too, since it is not designed to substitute the traditional courses.