Matrix Factorization - Numberphile

Video quality	The size	Download

Information Matrix Factorization - Numberphile

Title	:	Matrix Factorization - Numberphile
Lasting	:	16.34
Date of publication	:
Views	:	361 rb

1:45 If you don't have enough tricks in the bag, put in a new trick 😂😂😂 That's maths for sure , Builds up like a story!!
Comment from : Arekta Tejo

Thank you David Eisenbud You made it clear!br♥
Comment from : Ario Zarrinkolah

Dr Eisenbud makes this content so approachable
Comment from : Sarah McEliece

what's the algorithm though? where do i find the algorithm?
Comment from : telo tawa

i find it so difficult to understand what he says
Comment from : Chiến Phùng

i really like the theorem, also i like how he sounds like mr burns
Comment from : NiftyG

You guys should do a video on geometric algebra—it turns out that the Pauli and Dirac matrix algebras are simply representations of geometric algebras
Comment from : Connor Frankston

Awesome video! Does anyone know an elementary proof of the Theorem in the video not using free resolutions? and where can I find an algorithm for finding the matrices?
Comment from : Ignacio Garcia Marco

Brilliant ;)
Comment from : xsallyboox tarot

Not relevant
Comment from : Vasily Ryazanoff

What is the matrix square root for the taylor series of the exponential?
Comment from : Jonathan Fraser

Color me puzzled I've always heard that Heisenberg was the inventor of matrix mechanics Is this one of those England versus the Continent disputes over priority like the Newton/Leibniz dispute?
Comment from : David Winsemius

It's not about mathématics only, Everybody listening here can appreciate , modesty, humbleness, altruism, soul beauty and a lot of hope for next scientist generations brthanks for those precious minutes of pure pleasure
Comment from : Math Hack

And that physicist that finds that matrix factorization is useful in the theory of boundary conditions (A and B branes) of string theory is Maxim Kontsevich
Comment from : relike868p

Be careful, there is an incorrect wave equation!brThe speed should be inversed: 1/c^2
Comment from : Evgenii Sharaborin

What middle school did you go to learning factorizing I learned that in 11th grade
Comment from : Andrew Bounds

Expetacular video
Comment from : Marcos Oliveira

He actually has a book Commutative algebra: with a view toward algebraic geometry being cited >8000 times
Comment from : Guangru Li

how about factorising polynomials in geometric algebra?
Comment from : Brian Sanderson

sorry, factoring t^2+x^2+y^2+z^2 is trivial, it's sqrt(t^2+x^2+y^2+z^2)*sqrt(t^2+x^2+y^2+z^2) You can try it, multiply it back, it equals
Comment from : Charlie Angkor

I believe Dirac made a mistake A number and a 2x2 or 4x4 matrix are a different things There is no equality between those
Comment from : Charlie Angkor

Came for the math, stayed for the story
Comment from : Cor Alex Badea

⛓️ Thank You!
Comment from : Cornell Waters

I saw the words ‘matrix’ and ‘factorization ‘ and I felt pain in my brain
Comment from : hyper blossom

Can anyone explain why did he turn the product of 2 matrices, A and B, into another matrix:br(0 Abr B 0)br???brbr8:35
Comment from : TheLevano22

okay i see my mans coming up with more quadratic formulas
Comment from : Everime

I remember hearing "The first term is x, and the second is y One gets a plus and the other a minus" in school 同様 if you remember hearing that…
Comment from : Bry10022

Wikipedia says br brDavid Eisenbud is the son of brLeonard Eisenbud who was a doctoral student of brEugene Wigner who was the brother of brMargit (Manci) Wigner who was married to brPaul Dirac
Comment from : Andrew Sterrett

Thanks for sharing this!
Comment from : Business Guide

I was just procrastinating on a commutative algebra assignment and stumbled upon this video, not realizing this is the very David Eisenbud from the commutative book I was reading! (The book is great, of course)
Comment from : Cobalt _000

Wow, what a nice dude! I kind of want to just sit on his knee "Doctor Eisenbud, tell me the one about matrix factorisation and the three bears"
Comment from : Jase Rogers

Count Dooku, "Learn mathematics young padawan, to understand the dark side"
Comment from : Aniruddh Pr

He seems to have dropped a minus sign Dirac was interested in factoring -t^2+x^2+y^2+z^2
Comment from : Tibra Ali

Such a great interaction with a very humble mathematician It really is nice!
Comment from : Pritam Sarkar

I'm introducing operator algebra (and factorization) to my Quantum Mechanics Students this week I'm showing them this video because I find a nice introduction to the idea before we dive into some mathematics Nice video
Comment from : tombulous

Hey it’s the chalk guy
Comment from : Immort47

That was delicious!
Comment from : chaoslab

Introverted mr mackey
Comment from : Hulk Hogan

So what is the application of the matrix factorization? The traditional polynomial factorization will tell you where the zeros are, but does the matrix factorization do the same thing?
Comment from : Chris

the time for entering the general clickCourse is just coming onn^+
Comment from : Joel Kavanagh

-- --> ++ as a timely concept
Comment from : Joel Kavanagh

i call 8 yp
Comment from : Joel Kavanagh

if you dont have enough trix in your toolbox, put in a new trick wow^2 thanks so much, that really helped
Comment from : Joel Kavanagh

min 8:00 you absolutely need BRACKETS
Comment from : J

sorry for the video ! at 3:53 I don't understand why you wrote t² + x² + y² + z² and not -t² + x² + y² + z²
Comment from : lumpi806

Seriously did you not know what "linear" meant???
Comment from : Quantris

I seem to remember matrices can be multiplied in 2 different ways?
Comment from : ommadawnDK

Nice and useful
Comment from : almuhanad Ahmed said Alhashmi

Fantasticalways had this question in mindnobody answered this way
Comment from : Abhinav Agarwal

I just finished Linear Algebra, so this will be interesting
Comment from : Jamen Neel

Great genius teacher thank you so much for your work
Comment from : Huish Rhuio

The difference between numbers and waves is structure Real world is waves and numbers are time differentials Matrix is a structure representation with numbers
Comment from : Venkat Babu

87 downvoters prefer simple numbers; complex numbers are a turn off for them :)
Comment from : Michael Bauers

im so bored that im watching this
Comment from : BlaST!

301
Comment from : Raulissostrong

hey um, your video is still stuck at 301 views-
Comment from : mrtno

We need a video on Jonathan bowers (exploding array function)
Comment from : Uma 1956

What happened to day guy from 7 years ago
Comment from : Mista White

301 views
Comment from : Black 黒

301 views
Comment from : Google User

Everyone cite his paper in their next paper (Hide it in your english paper and have your Teacher/Professor/Nursery Dungeon Boss ask you what the significance of that citation is to the rest of that paper
Comment from : Bongos

Most sophisticated comments section I've seen
Comment from : Seth

Hi In the Surreal Numbers, what are the reciprocals for the different sizes of infinities? Are they different sizes of infinitissimals? brAnd what is the reciprocal for the largest infinity? is it zero?
Comment from : Yusuf TANA

In the theorem (11:28) he only considers polynomials with no linear terms but his example (11:48) contains the term 34xz Isn't that a linear term? What am I missing?
Comment from : Carlos Camino

After watching 301
Comment from : Abdullah Alhamd

301
Comment from : TIGER KAT!

Its like Math is speaking to these guys!
Comment from : Sai Chandra Has Panchagnula

b301/b
Comment from : Lorenzzo Puga

Anyone here from "why Youtube gets stuck at 301 views" LOLbrLike if you're one
Comment from : Adam Azizi

Thank you! Love this topic
Comment from : God Is Love

SSCG(3) next
Comment from : Stephen Gadberry

301 views
Comment from : Vilão Fps

at least the views didnt freeze at 301 anymore
Comment from : gz

Could you make a video about Clifford algebra? It is a pretty cool way to simplify and unify a lot of mathematics in physics, and I think it deserves to be shown to larger audiences Dirac's matrix problem in this video is basically Clifford algebra, but just with a matrix representation
Comment from : kaakatin

I accidentally clicked on this but It actually helped me with my hm
Comment from : H

Glad this video doesnt have 301 views
Comment from : ZirPlen

Cameraman is our hero
Comment from : Xenox369

why is that video still on 301 views?
Comment from : Caua Pereira

How can you get a 4 by 4 matrix from squaring a 2 by 2 matrix I think it should be a 2 by 2 matrix at 8:54 Please correct if I am wrong
Comment from : Yuvraj Singh Rajawat

I don’t get it , I almost watch every Numberphile Video on release , but this video didn’t show up in my feed Might be the best video on yt I’ve seen in weeks May the algorithm be with you for the next video Love the Eisenbud Videos and hoping for another one with Clifford Stoll
Comment from : Meexi