Thread 16836088

Is he right? Is linear algebra ugly?

>>16836088 (OP)
>like hammering a nail into a board
In other words it's a useful tool with many real world applications.

>>16836088 (OP)
>Is linear algebra ugly?
He didn't say anything of the sort.

>>16836088 (OP)
>muh symmetry muh beauty
>seething about something not being abelian
Laymen retards read this and think “wow dude that’s so deep”.
Algebraists read this and go “filtered by kingergarten group theory”.

>>16836088 (OP)
What is the context of this image?

>>16836088 (OP)
That's why everyone with a brain does lin alg with transforms and leaves garbage like matrices and determinants for computer cucks.

terryology is perfect and is hidden by the annunaki

>>16836088 (OP)
>linear algebra is ugly because ab≠ba
How abelist

>>16836157
>computer cucks.
Strange way to spell "employed people"

Not gonna lie, I just do normal algebra. I have no idea what a determinant is.

>>16836335
A natural transformation from GL(n, F) to F^\times.

>>16836377
What's GL, n, \ and times?

>>16836169
/thread
Thanks, Boss. My keyboard needed a cleaning.

>>16836377
>>16836394
Sincerely requesting a qrd too. That sounds pretty badass beautiful honestly.

>>16836094
Correct.

>>16836088 (OP)
Limp-wristed fag who's never used a hammer.

>>16836088 (OP)
You could complain about the set of all possible matrices of a field, but there are tons of subsets which are beautiful/symmetric in some way, like the representations of finite groups.

>>16836394
>>16836457
I am too lazy to typeset in latex.
GL(n, F): general linear group of n by n matrices whose entries are elements of a field F
F^/times: group of elements of F sans 0 with respect to multiplication

>>16836169
kek

>>16836169
lmao

Is it actually worth spending time learning group theory as a non-mathematician? So far the only abstract/higher level math I've engaged with have been firmly in the world of analysis (measure, functional analysis, analytic approaches to diff-geo and diff-eq, Fourier analysis, etc.). These have been fun bits of learning, but they've also turned out immensely useful in my career as a signal processing engineer.
I've always been interested in learning algebra, but it's never been something that has been directly required of me for my job/research interests. Is it worth self-studying, and if so, what's a good resource for someone who never took an undergrad algebra course but is pretty familiar with proof-based math?

>>16837347
Unlike the other guy, I understood your original post, but I've never, ever, ever in my life seen a more meaningless definition/explanation than what you just gave involving groups to someone who doesn't even know what a linear map is.

>>16836088 (OP)
Mathematicians calling any formulas beautiful is retarded. They can be simple or clever or intuitive or surprising or any such thing, but ultimately they're just sequences of symbols and never beautiful in any meaningful sense of the word.

Laplace transformations are pretty based.

>>16839249
One man’s trash is another man’s treasure. I have yet to see a better definition of the determinant that isn’t just arbitrary mumbo jumbo.

>>16836088 (OP)
Mathematical notation has been completely ruined by midwits who get paid by the word. It can all just be replaced by computer code.