Summer of Math Exposition

Too much stuff going on a page at a time

This is a neat entry, but the topic is very elementary and I was not aware of any significant originality/creativity in the offering. It appears much as one would find in any reasonable pre-university mathematics text book.

This is my first video to evaluate in SOME 2024...There is an small typo error at 8:12 ... he correctly says vector (10,4) but the representation on the screen is (10 ,-4) ... explanation is ok, but the math showed is wrong as it is... Even though, this video is a good one... I've studied about the 'change of bases' in my linear algebra courses long time ago,so I knew this subject ... In general this work is well made with clear explanations... The problem is that there are some parts that concepts go a bit fast and the examples not always make that concept easier to understand, specialy in the part 5 with the example explained with A^25... The effort to build the video is reflected in the quality, the colors and all fine details that make it a pleasure to watch... I think this video is better than the average in the presentation ... I will see later what happen with others to watch... Keep going making educational videos... Good work!!

Great explanation of the concept and also a neat example of why it's useful - would've loved to have had this as part of my linear algebra course in uni

Loved the chapters, and the fact that you kept bringing it back to a real example. The music choice made it feel like a real crime podcast, which was also fun. Great job!

Perfectly all right video. Not /entirely/ convinced the background music was a good idea, but at least I could still hear everything okay with it present. I noticed that you timed some of the animations to match the music, which was a nice touch. From my perspective as a viewer, the overall effect was neutral, but it must have been a lot more work for you to get the timings to match. Was it worth it ? Umm... not sure

The video was good, but the background audio was not. There was a fairly persistent white noise which made it difficult to hear the narrator. I am not sure if this was part of the music track, or had another source. Also, the music itself was rather distracting.

The audio could be much higher quality. The visualization at 0:50 doesn’t match the concept, it appears as if a sinusoidal sweep is implied? The video idea is fine, but definitely reads more like a lecture out of a textbook than a story the viewer can follow. It may be useful to students in a class, but most others would probably want something beyond a straightforward proof. You used eigenvectors, but did not connect it for the watcher. This is a massive problem, as this really should be on of the major motivations for explaining change of basis at all. Also, the statement of diagonalizability is incorrect unless you mean diagonalization by REAL matrices. I emphasize this, because while you can technically still argue your statement is correct, the reader may take the impression that real matrices are more relevant than they are. If you don’t mean that, then you cannot determine this by looking at the set of eigenvalues but only by observing the minimal polynomial. This sounds like it might be part of a broader series, so this might be unfair. Generally, it is better to pick some reason as to why the viewer should want to learn this concept, not to simply assume that they do.

Would benefit from some practical examples

Goal Orientation: 4/10 Novelty: 0/10 Thought-Provoking: 0/10 Comprehensibility: 1/10 Technological: 4/10 Overall Average: 1.8/10

Very nice animations, well explained for someone somewhat familiar but struggling with linear algebra