Nice I have been hooked up with the channel From what you did just now I was able to understand a bit But could you please elaborate a bit more on the determinant formula? Thank you
The formula for the determinant of a matrix is one of those things that I have no intuition for at all, I just happen to have it memorized. If you look at the Wikipedia page en.wikipedia.org/wiki/Determinant and read the section under Laplace expansion, that's the formula I always use.
hey ! i got a question that absolutely stumped me during an oral exam and i'd like to see you give it a shot. here's the question : Find all compact subgroups of (C*, x)
Could you elaborate on the notation here? What is C*? Is that all non-zero complex numbers? And what is (C*,x)? Non-zero complex numbers under multiplication?
@@mathoutloud C* is all the invertible elements of C (for the multiplication) so yes, it is C without 0 and (C*, x) is indeed non-zero complex numbers under multiplication
I've just finished recording my solution to this! You won't exactly get my totally fresh take on it because I read the question a couple days ago, but I try to give my thought process as it happened originally. Also, I'm not 100% sure I fully got the right answer, but I'm still pretty confident, although not totally convincing in communicating it. The video should be published in the next week or so, so stay tuned!
@__Junioor__ Hey! You may have seen recently that I put up the video with your question. I’m not sure I’m fully correct, maybe you could take a look and let me know.
![The most beautiful equation in math, explained visually [Euler’s Formula]](http://i.ytimg.com/vi/f8CXG7dS-D0/mqdefault.jpg)
Nice
I have been hooked up with the channel
From what you did just now I was able to understand a bit
But could you please elaborate a bit more on the determinant formula?
Thank you
The formula for the determinant of a matrix is one of those things that I have no intuition for at all, I just happen to have it memorized. If you look at the Wikipedia page en.wikipedia.org/wiki/Determinant and read the section under Laplace expansion, that's the formula I always use.
hey ! i got a question that absolutely stumped me during an oral exam and i'd like to see you give it a shot. here's the question :
Find all compact subgroups of (C*, x)
Could you elaborate on the notation here? What is C*? Is that all non-zero complex numbers? And what is (C*,x)? Non-zero complex numbers under multiplication?
@@mathoutloud C* is all the invertible elements of C (for the multiplication) so yes, it is C without 0 and (C*, x) is indeed non-zero complex numbers under multiplication
I've just finished recording my solution to this! You won't exactly get my totally fresh take on it because I read the question a couple days ago, but I try to give my thought process as it happened originally. Also, I'm not 100% sure I fully got the right answer, but I'm still pretty confident, although not totally convincing in communicating it. The video should be published in the next week or so, so stay tuned!
@@mathoutloud nice ! i'm definitely looking forward to seeing it :D
@__Junioor__ Hey! You may have seen recently that I put up the video with your question. I’m not sure I’m fully correct, maybe you could take a look and let me know.