/sci/ - Science & Math

[Anonymous No.6025673]

Any mathfags help me out with a quick problem?
Got a 3rd degree polynomial and a 3rd order matrix
how do I prove the matrix is the root of the matrix polynomial?

[Anonymous No.6025678]

>>6025673
Fuck you, btw

[Anonymous No.6025724]

>>6025673
engineering and MEDICINE?! engineering is for those who failed in math. medicine is no science, its just learning things by heart that have been found experimentally

[Anonymous No.6025723]

That list forgot Linguistics in god tier

[Anonymous No.6025726]

>>6025724
rofl.
no one knows what engineers do.

[Anonymous No.6025743]

>>6025673
I'm not sure what you mean by the order of a matrix, is it a 3 by 3 matrix? In case the roots of the polynomial are the eigenvalues of the matrix, I'd wager that the matrix polynomial is zero.

[Anonymous No.6025750]

>>6025743
Also, you may need to assume that the matrix has a basis consisting of eigenvectors. A simple condition which ensures this is that it has 3 distinct eigenvalues, of the matrix is 3 by 3.

[Anonymous No.6025760]

>>6025750
Obviously normality is also sufficient to ensure a basis consisting of eigenvectors.

[Anonymous No.6025768]

>>6025723
can't tell if sarcastic, but thanks.

We do math (real math even), logic/type theory, neuroscience, cognitive psychology, speech recognition/categorical perception, all sorts of cool shit.

[Anonymous No.6025766]

>>6025673
Why is medicine up there?

[Anonymous No.6025771]

>>6025673
>Music
You had my attention, now you have my contempt.

[Anonymous No.6025770]

>>6025766
Probably because it is one of the most important sciences of all, both historically and presently.

[Anonymous No.6025784]

>>6025770
Not much of a science though

[Anonymous No.6025785]

Maybe replace medicine with biology

[Anonymous No.6025830]

>>6025784
If the scientific method is the pillar of science, then medicine is much more scientific that, say, physics or mathematics.

[Anonymous No.6025840]

>>6025830
How so

[Anonymous No.6025844]

>>6025840
Rigorous statistical testing of new (and old) products and a blatant disgust with everything that has not yet been properly introduced to the scientific community.

[Anonymous No.6025851]

>>6025673

>asking a legit question
>choosing that pic

you must be new here.

[Anonymous No.6025853]

>>6025830

maths is not a science, and how is more scientific that physics?

[Anonymous No.6025856]

>>6025853
you're correct, math is not a science.

[Anonymous No.6025860]

The difference being math is invented. Measurements in science are purely observed.

[Anonymous No.6025862]

>>6025856
Math is the pillar of all science. It's the pillar of everything for that matter,

[Anonymous No.6025868]

>>6025853
You are aware that theoretical physics is just maths without rigour, right?

[Anonymous No.6025871]

Is statistics really a good field to be in? I did enjoy it when I took it in college but I cant imagine Statistics being "god tier". Is there something peculiar about it? Job market? Salaries?

[Anonymous No.6025876]

>>6025862
*cough* Philosophy *cough*

[Anonymous No.6025879]

>>6025876
Different things. Philosophy is the pillar of the abstract.

[Anonymous No.6025877]

>>6025871
Statistics has a place in politics and economy, and perhaps marketing. Not much more than that. I'd say about mid-tier.

[Anonymous No.6025878]

>>6025877

Just... epik

[Anonymous No.6025883]

>>6025862
Fine, which one solves more immediate and pressing issues: taking "reality" and using rationality to solve it OR making a model for all possible situations, and picking it. Did math explain why you ended your sentence fucking comma?

[Anonymous No.6025884]

>>6025871
Statistics is a very lively field, lots of math prizes have been given to statisticians in the past years.

Probably because it's relatively new and unexplored, so the low hanging fruits haven't been picked yet, unlike say, arithmetics or algebra.

[Anonymous No.6025888]

>>6025879
mathematics is abstract, you dork.

[Anonymous No.6025886]

>>6025883
Read: >>6025879

[Anonymous No.6025899]

>>6025888
Calculus is abstract, Algebra is not.

[Anonymous No.6025901]

>>6025888
Yes, and philosophy is the pillar of mathematics.

[Anonymous No.6025903]

>>6025899
sorry, i don't act like a retard. go die.

[Anonymous No.6025907]

Either do all the multiplication and stuff or find the characteristic equation of the matrix. It should be the same as your polynomial (or scaled by some number).

[Anonymous No.6025910]

>>6025876
>philosophy
>science
arguing about semantics is not a science

[Anonymous No.6025912]

>>6025910
No one claims it is.

[Anonymous No.6025918]

>>6025903
>hurr I'm too retarded to understand, I'll just tell him to go die that'll show him

>>6025901
If you can interpret 1+1=2 from a philosophical standpoint I'll agree with you.

Once in a philosophy class we were asked to make an essay on nihilism. A colleague of mine explained the concept of nihilism through a mathematical equation.

Needless to say, he got a 20/20 on that.

My point is, you can use maths to explain everything. The fact that it uses a symbolic language makes it universal and objective ; philosophy is almost the opposite.

[Anonymous No.6025917]

>>6025673
Mathematics/Philosphy double major here...

[Anonymous No.6025920]

>>6025918
>colleague
It's called classmate you pretentious jerkwad.

[Anonymous No.6025977]

>>6025918
>If you can interpret 1+1=2 from a philosophical standpoint I'll agree with you.

Logic is a sub-field of philosophy. Arithmetics is based on set-theory, which at its core is based on logic.

>My point is, you can use maths to explain everything. The fact that it uses a symbolic language makes it universal and objective ; philosophy is almost the opposite.

This is just a claim, and not a good one at that. Language is symbolic as well, does that make language universal and objective? And how do you explain, in terms of mathematics, the deliciousness that I perceive when this delicious salmon and eggs hit my tastebuds?

[Anonymous No.6026027]

>>6025899
memes aside, are you trolling or just retarded?

[Anonymous No.6026431]

>>6025920
English is not my native language.

[Anonymous No.6026436]

>>6025977
"Deliciousness" is a subjective matter. As I said before, math is an objective "language".

[Anonymous No.6026446]

>>6025673
>Third order matrix
Hmm, pls rephrase. I'm a mathmo but that chart is a bit mean, though I can occasionally inadvertently insult English students and Bionatscis by mistake.

[Anonymous No.6026458]

>>6025673
>law pharmacology and toxicology, and geology
>in front of life and computer sciences
>rules, drugs, and rocks
>more complicated than every living thing, and complex machines

[Anonymous No.6026459]

>>6025899
>What

[Anonymous No.6027069]

>>6025673
lul, you shouldn't have posted this picture...
No one tries to answer you question.

If I understand your question, you have a polynomial
P=a*x^3+b*x^2+c*x+d
and a 3*3 matrix
Let's say :
M={{2,2,4},{1,1,1},{4,2,2}}

>how do I prove the matrix is the root of the matrix polynomial?

you just need to plug M when you see X to compute P(M). You will get as a result a 3*3 matrix

here, X^2 becomes M^2={{22,14,18},{7,5,7},{18,14,22}}
and X^3 becomes M^3={{130,94,138},{47,33,47},{138,94,130}}

If the resulting matrix a*M^3+b*M^2+c*M+d*Id
(take care d=d*x^0 becomes d*Id !)
is the null matrix, then
"the matrix is the root of the matrix polynomial"

[Anonymous No.6027073]

The chart is stupid. Some people have brains more suited to analytics while others are more suited to creativity. Sure there is some subjects that are easier but I can practically guarantee that if all science students were put into English, their average mark would decrease, not increase.

btw, before some jerkoff says something like "Butthurt english major detected", my subject is one that this graph describes as "God Tier".

[Anonymous No.6027102]

Geology master race reporting in.

Feels good doing one of the very few disciplines that has its own distinct and emergent varieties of the science.

>pic related, just one of the potentially millions of different types of geology in the universe

>What untold wonders lie beneath the ethane seas of Titan? What are the processes that form the ice dunes? Is there a sub-surface ocean? Of what degree does fluvial geomorpholgy affect the topography? Is there evidence of cryovolcanism, like there is on its neighbor Enceladus?

[Anonymous No.6027108]

> tfw low tier
> tfw always wanted to be a physicist

[Anonymous No.6027142]

>>6027069
I bump the only satisfying answer to OP question.

Keep discussing on the chart, I'll bump regularly until OP read it. (If he comes back...)

[Anonymous No.6027173]

>>6025766
My sister does medicine and she works a LOT harder than me and I do maths. Her textbooks are near incomprehensible (just as mine are to her I suppose)

[Anonymous No.6027205]

>>6027173
my sister is a whore and she works all night long, even on week-ends.

my brother is an autistic dude who everyday reads and remembers the whole content of a random book, in any non-transliterated language.

--> They both work very hard. It's totally "useless" for the community (debatable for my sister).

inb4 inutile sarcasm.
I do know that medicine is fucking hard (and you have a lot of things to memorize), but I think the time you spend of something is not by itself a reliable indicator.