Exam tomorrow, somehow hearing Grant's voice was all I needed right now.
@xanderalaric2283 жыл бұрын
sorry to be so offtopic but does any of you know a trick to log back into an Instagram account?? I somehow forgot the login password. I would love any assistance you can offer me.
@mathiasjayson6763 жыл бұрын
@Xander Alaric Instablaster :)
@joshdominguez27654 жыл бұрын
I knew this soothing voice was so familiar. The calming voice that brings you peace when sailing through the raging storms of calculus and linear algebra. 3Blue1Brown!
@falcz Жыл бұрын
If all the teachers in the world had the ability to explain things like Grant Sanderson, we would have already become a galactic civilization for decades.
@picknikbasket8 жыл бұрын
"more intimidating than it needs to be" Love it!
@mayue61957 жыл бұрын
is he 3Blue1Brown?
@ValyPCM7 жыл бұрын
yes, he is
@Originalimoc6 жыл бұрын
Sounds really like. And yes. He's on Khan academy.
@gimmemoreborisbrejcha97943 жыл бұрын
@@Originalimoc He was.
@adityaroshan1688 Жыл бұрын
Yes he is grant Sanderson
@billycheung5114 Жыл бұрын
He not a human
@ben_hkw117 Жыл бұрын
Viusal learning is always better than reading plain text. Nice video!! Need more of this. Gracias!!
@Mirandorl5 жыл бұрын
SK and this guy are absolutely my favourite online educators
@Dezomm5 жыл бұрын
Love these videos. Thank you so much for helping people learn this stuff!
@berknevzat79953 жыл бұрын
I never thought I could pass the exam but now, I know I will
@mltyblnd4 ай бұрын
grants voice makes me so happy
@acuriousmind74587 жыл бұрын
3 blue 1 brown guy :D
@RebekahParkhurst4 жыл бұрын
I can't find the next video after this. It's not in a playlist and youtube doesn't show me which one comes next. I'd like to find the next video please!
@hyunwoopark92415 жыл бұрын
I was just looking for any vids for my test tomorrow and walla!! 3B1B appeared!
@sgracem28632 жыл бұрын
I wish they would link the next video in the description
@Hlkpf6 жыл бұрын
Started the video; originally just wanted to confirm that it was what I thought it was "i know that voice" and then i watched it all :-D what kind of sucker am I xD
@viggobertrand306711 ай бұрын
Beautifully explained. My notes make sense now.
@EvilDudeLOL4 ай бұрын
"Pause the video, go find a matrix multiplication video and kimda refresh about that." Oh boy have I got a channel for you
@xixi17704 жыл бұрын
how can i find the playlist of this video? or what's the whole series that contain this video??
@samirkhan61959 ай бұрын
Its called quadratic form because this part decides the form(nature) of the curve , based upon the values of a,b,c alone one can determine whether the curve is circle,ellipse,parabola or hyperbola... other linear terms like dx+ey and costant term f gives control over additional customisations to the curve...
@aram694202 жыл бұрын
I just realize this is Grant Sanderson's voice
@yongjaecho60392 жыл бұрын
I've found this theory all day... thank you :)
@julesthomas33353 жыл бұрын
Why do we use a 1 by n matrix instead of take the dot product ?
@MrVaskor Жыл бұрын
A helpful video - thank you. I am currently working on an efficient way to compute the quadratic form result x^T M x where x and M are given (or at least can be computed based on given rules) but x is a massive vector with 1,048,576 elements and M is a massive 1,048,576x1,048,576 matrix, so multiplying everything out would take forever. I think I have an idea on how to do it, since I believe the rules given allow a shortcut, which I now need to implement. Once I have finished that, I have a task of repeating the process for an even bigger x vector with 1,073,741,824 elements and an M matrix with 1,073,741,824x1,073,741,824 or around 1.15 quintillion elements!
@crashbunks9 ай бұрын
But why?
@MrVaskor9 ай бұрын
@@crashbunks For the IBM Research Ponder This May 2023 puzzle
@Elvis08 ай бұрын
gl
@brightsideofmaths6 жыл бұрын
Really nice :)
@gregorymacchio40775 жыл бұрын
OMG YESSSSSSSSSS 3BLUE1BROWN!!!!!
@Tsoenyana3 ай бұрын
What software do you use for videos and writing?
@douglasespindola51856 жыл бұрын
Ok, and how could I write a common function like f(x) = x^2 + 3x + 5 in a matrix form? Should I split it in two vectors like A = [ 1, 3, 5 ] times [ x^2, x, 1] ? If don't, what am I missing? Thanks.
@ryanjackson0x2 жыл бұрын
You would still do x^T*M*x and determine M as he does in the video. The vector input to M will have the second value constrained to be 1. The reason is that f(x) yields a single value, and M yields a vector -- they are not equivalent as-is.
@yeyangzhou Жыл бұрын
Super clear. Thanks!
@bryanDaMazo164 жыл бұрын
How can you multiply 2x1 and 2x1 matrix? shouldn't it be transpose of first one, then 1x2 and 2x1?
@tomaswust35052 жыл бұрын
Great video. Thanks for the help
@_NEO__4 жыл бұрын
Wow this really helped for exams
@aeroscience98347 жыл бұрын
0:55 wrong. It's called a quadratic form because in abstract linear algebra, it comes from something else called a bilinear form, which is a type of map involving vector spaces en.m.wikipedia.org/wiki/Bilinear_form
@Skankhunt-xr5lb6 жыл бұрын
Aeroscience you must be fun at parties
@tranhuy47136 жыл бұрын
+Skankhunt42 if he is invited to one
@aleksandrbakhmach981010 ай бұрын
Nice job !
@ZIMINYANG-e5d8 ай бұрын
i did not expect threeblueonebrown!
@martingutlbauer90717 жыл бұрын
Is there a way to epand this to higher derivatives like 3rd or 4th derivatives? How would a "cubic form" look like?
@nathanielsaxe30497 жыл бұрын
yup, if you want to use 3rd derivatives you need a 3 dimensional Hessian matrix which contains things like (partial^3 f) / (partial x^2 partial y), 4th derivatives need a 4 dimensional Hessian etc.
@hrsmp7 жыл бұрын
There is actually a book on Cubic forms by russian mathematician Yuri Manin.
@HuefulPhoenix2 жыл бұрын
Our hero
@JalRuotGatkuoth Жыл бұрын
it is very nice
@souravkarmaker45346 жыл бұрын
Thank you sir !
@vf54007 жыл бұрын
Thank you!!
@godfreybaiga38046 жыл бұрын
Great explanation keep up dear
@silvestersourn41255 жыл бұрын
How do I do a quadratic Formula with no X squared??
@Enlightenchannel2 жыл бұрын
Why is Grant Sanderson on Khan Academy!
@thabangmasetloa45348 жыл бұрын
Thank you
@ferdowsalom224911 ай бұрын
Then you are the same guy of 3B1B😃
@mevadeva13972 жыл бұрын
i think it's called a quadratic form instead of "pure quadratic equation" because of similarities with linear algebra, where that second term would be nonsensical and unnecessary long
@cola1753 жыл бұрын
.."more intimidating than it needs to be" . Exactly the thing I always hated!
what exactly is the purpose of the symmetric matrix... Couldn't you generate a quadratic form even without a symmetric matrix?
@rinzhler69222 жыл бұрын
3:19 - 3:29
@niravgujarathi55022 жыл бұрын
@@rinzhler6922 thanks a lot 👍👍
@rinzhler69222 жыл бұрын
@@niravgujarathi5502 👍
@vaishnavchandra52203 жыл бұрын
......................Grant Sanderson
@360wheelz54 жыл бұрын
Plot twist: Grant working part-time at Sal's.
@dominicj79773 жыл бұрын
He was an intern
@thalescosta76027 жыл бұрын
3b1b?
@benkim69692 жыл бұрын
0:58
@MultiJman017 жыл бұрын
Why multiply with x transposed and not just take the dot product?
@EvsEntps4 жыл бұрын
You can, but you would have to put brackets around the matrix and the x-y vector to emphasise the order of operation, because you can't dot product a vector with 2x2 matrix.
@ryanjackson0x2 жыл бұрын
Dot product isn't good enough for this purpose because in the dot product operation, the unknowns (x, y, etc.) fall away from the result, and in this case, we need them to find the quadratic form.
@edslab53833 жыл бұрын
Is that the voice of 3b1b?
@lordleoo6 жыл бұрын
i've been searching for something related to this, for hours, and can't find a clue. the algebra we studied in school is for scalars, you deal with stuff like ax^2 and x/a or x/a and so on. now with matrices, if instead of a scalar, you have a sequence of scalars, and you want to represent ax^2 for each one of them, you write transpose(a) * x * a if you want to represent [ax, by, cz] you write: diag([a,b,c]) * [x,y,z] where can i find a list of such relations? how to convert equations/functions from scalar form to matrix/vector representation. i've been looking for hours. i want a list of those relations, or the name of this field.
@RishikavsAnnie5 жыл бұрын
This doesn't seem to work with real matrices of order 3 (Converting a matrix into a quadratic expression).
@user-hx6qy3ev9x4 жыл бұрын
love u 3blue1brown
@universe-ity90294 жыл бұрын
Does "form" seem that fancy? Sounded pretty plain to me.
@wiz9858 Жыл бұрын
thanks, winning chess niow
@emlmm887 жыл бұрын
Weird that we didn't cover this until Linear Algebra.
@zsaruar5 ай бұрын
😍
@sssilky33172 жыл бұрын
Ok am I crazy or is this 3Blue1Brown talking?
@kaandesu48812 жыл бұрын
reis
@kaandesu4881 Жыл бұрын
allahın belası sınava 10. defa giricem aaaaaaaaaa. ama reis yine iyi anlatmış. 4 ay sonra görüşmez üzere
@bunnietzui65933 жыл бұрын
omg is there anything you don't know?
@harrywang67924 жыл бұрын
I thought I was watch 3b1b for a sec
@ashwaqahmed48904 жыл бұрын
He is
@TimePass-lk7pm3 жыл бұрын
Any Indians 🇮🇳
@studiant30043 жыл бұрын
Yeah, I'm not indian but I totally dont have nothing against you haha
@changqu6127 жыл бұрын
sound like you said the "n" word at the beginning, lol
@alial-musawi98986 жыл бұрын
Chang Qu I always hear this word when chinese people say 那个