The pattern they rarely teach you... The 3x3 Determinant and permutations.
#Determinant #Matrices
Rarely is the 3x3 determinant (or any determinant for that matter) explained in a way that warrants a discussion on the patterns with in determinant. In this video we explore important patterns that are rarely taught when learning about determinants.
Some useful definitions:
Permutation: a permutation is a specific arrangement of a set of 'things', be it numbers, letters or even the coffee mugs in your kitchen cupboard.
Transposition: a transposition is the act of swapping two of the 'things' within a permutation revealing another permutation.
Intro music by an amazing band called Wordy, check them out here:
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Пікірлер: 19
My teacher showed us this first and he didn’t even write down the definition. Just showed us. He of course moved on to cofactors, but I found it really cool that he actually showed us how it is defined so that it made sense why things are the way they are.
@ciaranmcevoy9875
3 жыл бұрын
It's great to hear that Samuel, he sounds like a great teacher. Understanding why things are the way they are is what I think makes learning it worthwhile.
Probably the only explanation which I found usefull. Cant thank you enough
@ciaranmcevoy9875
4 жыл бұрын
You're most welcome pal. That's a great compliment, thank you. I'm glad to hear it's helped you out.
@Caleepo
4 жыл бұрын
A Clever Chimp thanks this was explained by my professor. Didnt understand it what permutations had to do with with determinants, but now I do.
❤️👏🏻
Wow , this video really encouraged me to think in a more basic way , trying to find patterns in our universe , thanks man for such a great video😀
@ciaranmcevoy9875
3 жыл бұрын
You're welcome Anish. I'm so glad it's sparked those types of thoughts for you. So much of maths has come from humans noticing patterns in things, so it's always nice to remind yourself of that from time to time.
Wow, what a channel! I can't believe I'd never seen it before. Great video!
@ciaranmcevoy9875
3 жыл бұрын
Such kind words! Thanks very much 🍻
Thanks alot. Very helpful
Excellent 👌
I searched for a more theoritical video about determinant using permutantions for my midterm, and this was quite helpful and interesting video, thank you. Dont know why its so overseen, quality is high level!
@ciaranmcevoy9875
Жыл бұрын
Thanks Assanali, so glad you enjoyed the video!
Please don't delete this video ever. It is very useful
@ciaranmcevoy9875
2 жыл бұрын
It's not going anywhere pal
@umairahmad5184
2 жыл бұрын
@@ciaranmcevoy9875 thanks brother
Beautiful
What is 3x3 dertminate and why its use