Professor, when you introduce the definition of inner product around 5:45, I wondered why you wrote it as a linear with respect to second component. By the definition of the inner product, it is a linear with respect to the first component. For the second component, if the field is a real number, this is not a problem, but if the field is a complex number, it will be conjugate.
Hey, first I (hopefully a future physicist) want to say I really love and admire your work! Thank you. Secondly, I'm really curious how you managed to upload videos of the same topics but with a dark background without recording them from scratch.
