To click on "Thombs Up" in order to indicate your acknowledgement of your satisfaction about the lecture in this and other videos of Dr. Salomone is like giving a drop for the ocean of satisfaction that he deserves. I wish there was no limit of clicking on that "Thombs Up" icon so that I could click on it 10 ^ 23, Avogadro's number of times. Thank you Matthew.
When calculating the multiplicative inverse of a+bi+cj+dk like that, the coefficients of 1, i, j and k in the inverse won't be integers. But we're looking at Z[i,j,k]. So I can't see that this ring has multiplicative inverses. What have I missed? (It would be fine in Q[i,j,k].)
To click on "Thombs Up" in order to indicate your acknowledgement of your satisfaction about the lecture in this and other videos of Dr. Salomone is like giving a drop for the ocean of satisfaction that he deserves. I wish there was no limit of clicking on that "Thombs Up" icon so that I could click on it 10 ^ 23, Avogadro's number of times. Thank you Matthew.
Great video, you are a wonderful lecturer, beautiful delivery THANKS
Quaternions? More like "Quite interesting lectures to think upon!" 👍
When calculating the multiplicative inverse of a+bi+cj+dk like that, the coefficients of 1, i, j and k in the inverse won't be integers. But we're looking at Z[i,j,k]. So I can't see that this ring has multiplicative inverses. What have I missed? (It would be fine in Q[i,j,k].)
2:15 We are considering R[i,j,k] not Z[i,j,k].
Super helpful, thank you!
Great videos, very helpful!
Sir can you provide me notes of thos lecture
surprised only 926 views
At least nine years later it has over 10x as many views.
@@PunmasterSTP 🥳
@@Abhyaskul Out of curiosity, how have you been doing over this almost-decade?
at that time i was in graduation and learning modern algebra. now i have done doctorate and teaching graduation subjects (and learning too).
@@Abhyaskul Oh awesome; I'm really glad to hear that! Is abstract algebra one of the things you teach?
Sir your lictures are so helpful but you're speaking so fastly and we can't get understand easliy ...however thank you sir
This Venn diagram is a MESS! ;q
It's accurate though, just a lot of info to present.