Linear Algebra and Geometry 2 (Udemy.com)

This Linear Algebra 2 course was an excellent learning experience. The material was well-structured, with clear explanations that made complex topics easy to follow. The course design was very effective—modules were concise, slides were clean, and concepts were introduced step by step. The video editing was also impressive: smooth transitions, well-timed highlights, and engaging visuals that brought abstract ideas like vectors and transformations to life. Overall, it combined strong teaching, thoughtful design, and professional editing into a highly engaging course. I’d strongly recommend it to anyone looking to build a solid foundation in mathematics.

Hania and Martin deliver again with another banger course. These lectures took significantly more mental stamina and probably twice the overall time working through material compared to part 1, but it was absolutely time well spent. Not for the faint of heart, but if you feel ready to start approaching the more advanced aspects of math, this is the place to be. Just be prepared to sit down with a pencil and paper and spend some quality time with each concept. The best part? You can finally impress all of your friends at parties with your ability to illuminate the dark mystery hidden in the much-feared eigenvector A topic so complex that one may choose to remain afar indefinitely... or is it?

I was already deeply impressed by Professor Hania’s teaching style in Linear Algebra 1. Her meticulous attention to detail, along with the intuitive guidance that kept me from getting lost in those details, was truly exceptional. Around the halfway point of this second course, I began to feel that everything I had learned so far was accumulating within me. The relationships between concepts became clearer, and I found myself gradually developing the ability to organize the material in my own words. I owe all of this to Hania's carefully structured lectures and well-chosen problems. In particular, I found the inclusion of exercises involving function spaces and spaces of matrices—not just ordinary vector spaces—tremendously helpful for solidifying key concepts. Now I’m moving on to Linear Algebra 3, and this time it feels quite different. When I started this second course, it was with a vague sense of obligation—just the natural next step. But the way Hania ended this course, with her introduction to eigenvalues and eigenvectors, felt like a true cliffhanger. It left me with a strong sense of anticipation for what’s to come. Thank you, Hania. Truly.

I can't have higher expectations not met by this course. I have already followed other Prof. Hania's courses, which are always of top quality, with a focus on detailed and clear explanations. This course, like others, is well-organised, structured, detailed and logical. Language: The professor is not a native English speaker, but speaks crystal clear academic English. Incidentally, Udemy's automatic Voice2Text sometimes fails, especially when the Professor, not a native speaker, sounds tired, so don't trust 100% the automatic text generator.

I'm bit low confident before doing this course regards to Linear Algebra. Now I'm pretty confident in Linear Algebra.The all credit goes to the teacher. Everyone must should do this course. She taught the course pin to pin in good understable manner , which make you the concepts understanding clearly. The proofs also gives more insights and keeps you strong in LA.

This course is a continuation to Linear Algebra 1 . The topics covered here are offered with in-depth explanation and lots of exercises along the way. Each section is a real joy. You will learn a plethora of things which are normally tough to grasp and besides be able to connect it all. At bottom, everything in linear algebra is connected and this course fulfills the purpose. What's more, textbooks require lots of dedication and sometimes the math behind it is difficult to grasp in terms of vocabulary, proofs, connections. It all sums up to being a nightmare.While this course tackles it all with less pain but same benefits are obtained. It brings tangible hope. You just need to be dedicated and disciplined in your learning. Professor Hania will do the rest. Believe me, it is worthy. On top of that, any online course just touches the surface of the topic and it is not rigorous even though they might be good at delivering the big picture and analogies to understand, but you keep asking what's behind the black box. Indeed,professor Hania covers nearly all details, the big picture ... and if your have a question, she offers quick in-depth feedback not only in this course but all courses she delivers. I am really pleased I found professor Hania!

Another great course I proudly finished ( at least at 94% cause I skipped some proofs and other stuff to which I’ll come back later). I simply love how these lectures train your brain and help you become a free thinker. I don’t know how I could live without watching these awesome lectures. I’m going to a pilot school very soon (if not a mechanical engineering school). I’m sure these lectures have helped gain a lot more maturity, critical thinking and intelligence that are needed more my studies and career. I still have the two calculus 3 courses to watch to keep me busy and prepared. I can’t wait for all the other courses (precalc, calculus 1&2, linear algebra 3…) Many thanks Hania.

Excellent explanations, illustrations and many solved problems of various levels of difficulty. The link between matrices and linear transformations is fascinating, beautifully shown with many pictures. The topics in this course are more difficult than in the first course, but Hania explains everything very clearly. She is an excellent teacher, and I can recommend all her courses to everybody who wants to understand mathematics (also visually) and learn how to solve problems. This is my 4th course by Hania and Martin that I've completed and I can recommend all of them.

After finishing part1 of this course, I took this part2 and completed in a week. Similar to part1, this part was also excellent. The structure of the course, ordering of chapters, choice of worked out problems from diverse topics, intuition behind the hard concepts were very well planned ensuring students understand easily. I loved particularly the chapters on diagonalization, Gram-Schmidt algorithm, Eigen values and Vectors, change of basis. All the topics are handled as byte sized chunks for easy understanding. Thanks to Professor for putting together this excellent course Go for it!!!

Yes, amazing, but as expected, since this is the fourth course by Hania that I have followed. Indeed, I can only reiterate my words from the earlier ratings: this is a true masterpiece. A True Masterpiece. This applies to the planning, to the introduction explaining to the students what they are about to learn, to the process of dividing the whole theory and its concepts into units, to the presentation with a friendly way of talking and explaining easy and difficult concepts, proofs, and more or less complicated figures and diagrams. So, all in all, a true masterpiece. I do hope many students will join.