Disclaimer: I did not do well in his class.
Well, Itay Neeman is an amazing professor in my opinion. Lectures are extremely fascinating; however, keep in mind that everything he teaches is in the abstract and there aren't many examples (it's an honors class in the quarter system). I found myself looking forward to this class more than all my others (and bear in mind, I watched movies every day in another class!). Nevertheless, it is tough. If you haven't the time to dedicate to this class, you will fall behind. The homework is difficult and time consuming, the kind that has you banging your head against the wall until you finally have a breakthrough. With that being said, the homework is extremely fulfilling once completed and you will feel your brain grow throughout the quarter if you do the work. It's really an amazing experience that was offered and I regret partially depriving myself of it for private reasons. That's the way homework for an honors class should be. He is a kind professor, dresses well and makes subtle jokes here and there. This class is worth it, but you better dedicate time to it. Also, there are no curveballs--he will NEVER expect you to know something he has never taught and he you will be thoroughly trained to tackle all Midterm and Final Problems if you do your work. Also, there are weekly quizzes comprised of homework problems, so you better know how to solve all of the problems beforehand! If you do the work and understand the logic of it well, the quizzes will be easy; don't complete the homework, you're screwed for that quiz. These quizzes have four questions and you have ten minutes to complete it! Talk about fast! It's by no means unreasonable though. As I said, it's literally just homework problems. Most of his problems are proofs, but he does not require that they be formalized. All he cares about is that you understand the logic when you write informal proofs (He is the director of the Logic Department).

Itay Neeman is a knowledgeable old man who clearly knows linear algebra inside out. He has a charming smile that instinctively evokes respect and wisdom.

He doesn't use the textbook at all in class, but I find the textbook indispensable for understanding. The class is not hard, but certainly not easy either (it is honors after all!). Linear algebra itself is often described as easy, but if you take this class, be prepared for a far broader range of topics than your typical class. In the 500-odd page textbook, only one chapter is not covered.

The workload is heavy. There are on average 30 problems per week in the homework assignment. Even though you need not turn in the homework, you would be doing yourself a disservice by not doing them, because you *will* fail the quizzes.

The first midterm is easy; the second was hard but had a generous curve. 1/12 of the marks on the midterms and final are considered "bonus"; you will get full marks if you solve just 11 out of 12 parts. Similarly you only need 22 out of 24 parts in the final to get full credit. I finished the final (3 hours, 24 parts) on time, but found the midterms rather time-constrained (50 minutes, 12 parts). Many of my answers on the midterm are very rushed.

Neeman is very helpful. He has three hours of office hours every week, more than many other professors. I personally regretted a lot not going to his office hours more often, and instead spent untold amount of time and grief fighting with a few hard problems and trying to solve them on my own.

Generally speaking, the number of concepts in this linear algebra class is a bit large, and Neeman is always keen on explaining the connection of all these concepts, which is good for me because I've heard of some of the concept before. For someone who did not get in touch with linear algebra before, I believe it would be a bit overwhelming. However, this does not influence the efficiency of the class because the technique you need for solving problems is properly taught.
For a diligent learner, his teaching style is suitable because he throws lots of insight at you in the lecture and if you do think about them on your way to the restaurant, you can definitely benefit from it.