Linear Algebra - Free University-Level Course

In mathematics, the field of Linear Algebra concerns itself with structures and systems that behave linearly.

It studies matrices and vectors, and their operations. It is possible to stretch, rotate, and combine vectors through different operations.

Linear Algebra has a vast range of applications, for example in the field of Computer Science. In Computer Science, Linear Algebra is used extensively for Neural Networks (think of LLMs like - most notably - OpenAI’s ChatGPT) and Computer Graphics.

The knowledge acquired in this course will help you in developing your own Machine Learning or Graphics library from scratch, if you so desire.

Other than in Computer Science, many other Engineering fields use Linear Algebra extensively, but as a Computer Scientist myself, I’m most familiar with its applications with regard to computers.