Adrianrandomesh Numberphile2 has a video of that. I haven't watched it because I want to solve it myself, haha. But Brady and his correspondents usually do good work
You all prolly dont give a damn but does any of you know a way to get back into an Instagram account..? I stupidly forgot the login password. I would love any tips you can offer me!
@Marvin Emory thanks for your reply. I found the site thru google and I'm trying it out now. Looks like it's gonna take a while so I will reply here later when my account password hopefully is recovered.
WOW Dr Peyam your Linear Algebra reference to a product of 2 matrices being Zero 0 motivates eigenvalue treatment eg (A-I×ambda)=0 multiply by B so AB =B×lambda and then diag matrix follows when taking inverse B both sides. The point is your motivation and simplicity educated me. Didn't realise product of 2 matrices being 0 motivates the start wow now I see the basics. Thx Dr Peyam your the best . And also smiling / upbeat I like that too . Cheers Actuary Australia
Waoo! It's amazing. I would have liked a teacher to tell me a little "story" about linear algebra earlier to take classes on it, but now I am very grateful for you work on this video. Thank you very much!!!
Excellent overview of linear algebra that is well worth watching a couple of times. We are looking forward to more of your overviews and summaries. Many thanks. [Mauti-shah-kiera! (sic). Sorry for any mistakes in the transliteration.] Bob Schlesinger
Just finishing my 1st term of linear algebra.... Thank you for helping me put such a seemingly random miasma of concepts into an ordered (linear) bigger picture!
Great overview. So many lecturers don't do this. Like when he comes to basis, for example, how he stresses how cool that concept is. Like a cadence in his lectures where he projects his own enthusiasm about what's important instead of reciting stuff. Anyway nice job
I believe in the Ax=0 example there is an error, as there is only x_3 free, and therefore s.[2 -1 0 2 1] is not a solution (e.g. setting s=1 yields [0 0 0 16]). Setting x_3 to 0 would only be useful if there were more than one free variable (otherwise it only generates the trivial zero solution). Love the video & enthusiasm, thanks for making it!
This video was super helpful. I had to a semester gap between Linear Algebra 1 and 2 and I was worried I'd forget everything from 1 by the time I got to 2 but this was exactly what I needed. Thanks!!
I really enjoy your videos, not only for the information, but also for your presentations that show your excitement about the subject. If you have time, I would like to know what book you like for basic linear algebra.
It s cool but mr peyam I am an undergrad in college and I m learning multivariable calculus and linear algebra and what connects these teo topics are determinants, like for the formula of the 2nd derivative test and the formula for jacobian you need to solve the determinant of a matric I would love if you could post a video explaining the power of determinants; how is it they re so usefull when we go in higher dimensions?!
I'd like you go in more details or specific things, as you did in some other videos, not only in linear, also in calculus, analysis (maybe complex?) There are not so many channels on RUclips that go through those things and I'd like you to do it. Thaanks! I like your videos
Dr. Peyam's Show Hello!!!! I love all kinds of mathematics. I mean, my favourite part is Calculus and Analysis, and it would be nice to learn some (vectorial, multivariable) calculus in videos without getting an specific book. I also love differential equation but all this in an academic way, I mean, learning how to solve it anyway, not in special cases. However, it would like also linear algebra or anything. I know it is really difficult to go to that topics on RUclips videos, but I think some people would be interested. Thanks, even this couldn't be possible, I will continue seeing your videos😄 So, to sum up. Some advanced calculus like partial differentiation, vectorial or multivariable (and if it's not so difficult, complex variable) calculus and differential equations would be really really nice. For example, similar to those videos where you explained the Cauchy-Schwarz theorem and the residue theorem or the Jacobian in change of variables in two or three dimensional integrals
IMHO, there are plenty of calculus vids out here at RUclips which are superb. Pherhaps not so many with multivariable, but the discrepancy is noticeable with Linear Algebra and Analysis. I don't think I've ever seen interesting analysis results with intuition out here, but I'd love them since I'm an aspiring physicist and won't be studying analysis for a while. Love the your work btw. :)
Rafael Marques I totally agree with you. I said calculus (and analysis) because it's what I like the most. I believe more advanced linear algebra would be too abstract, and analysis (complex, multivariable) probably is more interesting and easier to teach
@@PunmasterSTP Hi there, alas I haven't. I applied to do a masters shorlty after to continue it but there were no loans or grants available so I was unable to continue pursuing it. I may pursue it again in the future, but since I graduated, I haven't been able to study it further. I hope to do so as I'm aware of other topics such as Exterior Derivative (my dissertation was on the exterior product and it's connection to determinants and traces etc) which look interesting.
@@renzalightning6008 Ah I'm sorry to hear that, and I definitely hope that there are enough resources at some point so that you can continue your pursuits in the future!
@@renzalightning6008 I’m mostly interested in it just because I’m a huge math and science nerd. I also do a lot of tutoring in different subjects, and I try to brush up on them when I have time. I tend to find myself on RUclips a bit more often than I’d like to admit.
Lovely introduction...maybe a little too advanced but really intuitive. I have one remark and one question tho. Let's start with the remark: we statisticians don't use the least square regression just to find an approximate solution! The hypothesis behind the linear regression is that each value of the sample is biased and it behaves like a gaussian curve around the "true" value on the line. The question is "you said that 2 vectors define a plane in R5". Thinking about R3 we need one perpendicular vector to define a plane...so my guess was that we need 3 perpendicular vectors to define a plane in R5. Why am i wrong?
Also, the way I define plane is a 2-dimensional plane, so you only need 2 perpendicular vectors. The concept you're thinking of is a hyperplane, which is basically an object in R^n that has dimension n-1, so in R^3 this becomes a 2d object, but in R^5 it's a 4d object (not sure where you got the 3 from :))
I totally see you point: 2 perpendiculars vectors "define" a space. I'm old schooled, pardon me prof, i just was thinking about the "function". In 3D the function describing a 2D plane is is something like ax+by+cz+d=0 where the vector "defining" the plane is the vector V , otherwise the vector perpendicular to every vectors in the plane. So i just made the wrong inference in R5.
LOL, things didn't change since the Gauss formulated the "error theory" (hope the translation is right). Back then they were wondering "what if i take repeated measures of a an event?" Well they all noticed that they never got the same f(x) value for a specific x value. Gauss just came out and wrote "well, assuming you aren't doing anything special to alter the measure, well in that case we must assume that any measuring error is totally random. In that case the probability of getting a value (X-E) (where X is the true value) must be equal to the prob of getting (X+E). So that's why Gauss induced a function which had to be simmetric (around the Y axis) and always positive to describe the density of prob the error. That means each f(x) value for any value X measured value had to be biased and Xi (for every i) itself had to be a random gaussian variable. Back then, Gauss didn't foresee that nature couldn't be described by cause and effect and all the variability had not to be related to measurement only. We live in an universe where only a small fraction of the events are regular enough to be succesfull costrained in a "cause and effect" frame. Most events are totally random or they might have a very thin regularity which can be extracted by statistic laws. I know you dream that all universe is just a math universe which can be explained by our very human capability to synthesize thing, but it's not. Feynman was right and Bohm too. The more you look at "things" the less you can explain them in a "theory of everything". One of the most peculiar bias of our mind is to remember "positive" facts and discharge what we think is false. We hardly come back to analize and dissect why we thought a fact was false...we just keep building on a lie. That's true in every field....from philosophy, through physic...to math. I really can't stand those ppl who think we live in a neo-platonic world.
Mmmmh, not sure, but on my webpage math.berkeley.edu/~peyam there are a bunch of useful linear algebra and differential equations-handouts, if you click on Math 54.
It would, but I can only write in cursive, which apparently people can’t read, so since I can’t write in print, the only alternative is to write in capitals!
Also it would be interesting to see how and why you can solve laplace and poisson equations. On a complex vector space, for which dimensions are the solutions of an "Anfangswert-Problem" unique for these kinds of PDE and stuff like that. Still love your videos!
When do we actually need this apart from the exam? As a guitarist this feels like learning every single scale without knowing how to strum a single fucking cord.
OMG! 😲
Adrianrandomesh Numberphile2 has a video of that. I haven't watched it because I want to solve it myself, haha. But Brady and his correspondents usually do good work
You all prolly dont give a damn but does any of you know a way to get back into an Instagram account..?
I stupidly forgot the login password. I would love any tips you can offer me!
@Tatum Collin Instablaster =)
@Marvin Emory thanks for your reply. I found the site thru google and I'm trying it out now.
Looks like it's gonna take a while so I will reply here later when my account password hopefully is recovered.
@Marvin Emory it did the trick and I now got access to my account again. I'm so happy:D
Thanks so much you saved my ass !
What you guys are doing is so valuable. This channel deserves it all.
YOU SHOULD MAKE A SERIES ON LINEAR ALGEBRA (I.E. IN DEPTH LINEAR ALGEBRA TO BE APPLIED LATER ON WITH DIFFERENTIAL EQUATIONS AND INTEGRATION!!)
That'd be epic
WOW Dr Peyam your Linear Algebra reference to a product of 2 matrices being Zero 0 motivates eigenvalue treatment eg (A-I×ambda)=0 multiply by B so AB =B×lambda and then diag matrix follows when taking inverse B both sides.
The point is your motivation and simplicity educated me.
Didn't realise product of 2 matrices being 0 motivates the start wow now I see the basics.
Thx Dr Peyam your the best .
And also smiling / upbeat I like that too . Cheers Actuary Australia
It's really good to see him so excited about algebra. Very inspirational.
Waoo! It's amazing. I would have liked a teacher to tell me a little "story" about linear algebra earlier to take classes on it, but now I am very grateful for you work on this video. Thank you very much!!!
Excellent overview of linear algebra that is well worth watching a couple of times. We are looking forward to more of your overviews and summaries.
Many thanks. [Mauti-shah-kiera! (sic). Sorry for any mistakes in the transliteration.]
Bob Schlesinger
Just finishing my 1st term of linear algebra.... Thank you for helping me put such a seemingly random miasma of concepts into an ordered (linear) bigger picture!
I’m so hyped to enjoy your linear algebra
This is a cool summary of linear algebra bringing back memories of wonderful concepts I learned in class so long ago.
Great overview. So many lecturers don't do this. Like when he comes to basis, for example, how he stresses how cool that concept is. Like a cadence in his lectures where he projects his own enthusiasm about what's important instead of reciting stuff. Anyway nice job
Linear algebra overview? More like "So many things that you knew"...and were willing to share. Thank you so much!
I believe in the Ax=0 example there is an error, as there is only x_3 free, and therefore s.[2 -1 0 2 1] is not a solution (e.g. setting s=1 yields [0 0 0 16]). Setting x_3 to 0 would only be useful if there were more than one free variable (otherwise it only generates the trivial zero solution). Love the video & enthusiasm, thanks for making it!
Linear Algebra was more delicious than the OMG burger.
This video was super helpful. I had to a semester gap between Linear Algebra 1 and 2 and I was worried I'd forget everything from 1 by the time I got to 2 but this was exactly what I needed. Thanks!!
Hey I know it's been years but I was just curious. How'd Linear Algebra 2 go?
I really enjoy your videos, not only for the information, but also for your presentations that show your excitement about the subject. If you have time, I would like to know what book you like for basic linear algebra.
Definitely Linear Algebra by Lay
@@drpeyam Many thanks.
That's what I call dedication!
Really excellent overview!
It s cool but mr peyam I am an undergrad in college and I m learning multivariable calculus and linear algebra and what connects these teo topics are determinants, like for the formula of the 2nd derivative test and the formula for jacobian you need to solve the determinant of a matric I would love if you could post a video explaining the power of determinants; how is it they re so usefull when we go in higher dimensions?!
That's an amazing idea, will do :)
Hey I know it's been four years but I was just curious. How did your studies in undergrad go?
0:30 "of course i could talk for hours about it" please do so!
That is a really nice overview!
I'd like you go in more details or specific things, as you did in some other videos, not only in linear, also in calculus, analysis (maybe complex?) There are not so many channels on RUclips that go through those things and I'd like you to do it.
Thaanks! I like your videos
Eric Lizalde Let me know what specific topics you're interested in, and I'd be happy to present them to you :)
Dr. Peyam's Show Hello!!!! I love all kinds of mathematics. I mean, my favourite part is Calculus and Analysis, and it would be nice to learn some (vectorial, multivariable) calculus in videos without getting an specific book. I also love differential equation but all this in an academic way, I mean, learning how to solve it anyway, not in special cases. However, it would like also linear algebra or anything.
I know it is really difficult to go to that topics on RUclips videos, but I think some people would be interested.
Thanks, even this couldn't be possible, I will continue seeing your videos😄
So, to sum up. Some advanced calculus like partial differentiation, vectorial or multivariable (and if it's not so difficult, complex variable) calculus and differential equations would be really really nice.
For example, similar to those videos where you explained the Cauchy-Schwarz theorem and the residue theorem or the Jacobian in change of variables in two or three dimensional integrals
IMHO, there are plenty of calculus vids out here at RUclips which are superb. Pherhaps not so many with multivariable, but the discrepancy is noticeable with Linear Algebra and Analysis. I don't think I've ever seen interesting analysis results with intuition out here, but I'd love them since I'm an aspiring physicist and won't be studying analysis for a while. Love the your work btw. :)
Rafael Marques I totally agree with you. I said calculus (and analysis) because it's what I like the most. I believe more advanced linear algebra would be too abstract, and analysis (complex, multivariable) probably is more interesting and easier to teach
Rafael Marques I'm also a an aspiring physicist, but mathematician also😄
Nice overview, Dr. Peyam.
Linear Algebra is my favourite topic!! I did my dissertation on it, it was awesome, wish I could study it more!!
Hey I know it's been years but I just came across your comment and was curious. Were you able to make more use of linear algebra since then?
@@PunmasterSTP Hi there, alas I haven't. I applied to do a masters shorlty after to continue it but there were no loans or grants available so I was unable to continue pursuing it. I may pursue it again in the future, but since I graduated, I haven't been able to study it further. I hope to do so as I'm aware of other topics such as Exterior Derivative (my dissertation was on the exterior product and it's connection to determinants and traces etc) which look interesting.
@@renzalightning6008 Ah I'm sorry to hear that, and I definitely hope that there are enough resources at some point so that you can continue your pursuits in the future!
@@PunmasterSTP Thank you! Much appreciated!! Have you an interest in it also?
@@renzalightning6008 I’m mostly interested in it just because I’m a huge math and science nerd. I also do a lot of tutoring in different subjects, and I try to brush up on them when I have time. I tend to find myself on RUclips a bit more often than I’d like to admit.
Have you ever wondered why Dr. Peyam is always covered in chalk?
Me too!
Some math mysteries are meant to be left unsolved...
Very helpful. Thank you Peyam!
Dr Peyam, can you please do a video on differential equation overview and nonlinear dynamics overview?
The adjoint of linear map doesn't depend on choice of basis? Answer plz
9:49 cameraman looking for a chalkboard eraser. ;)
Your accent reminds me of german accent. I love it.
Great overview and great kernel pun 😀
Lovely introduction...maybe a little too advanced but really intuitive.
I have one remark and one question tho.
Let's start with the remark: we statisticians don't use the least square regression just to find an approximate solution! The hypothesis behind the linear regression is that each value of the sample is biased and it behaves like a gaussian curve around the "true" value on the line.
The question is "you said that 2 vectors define a plane in R5". Thinking about R3 we need one perpendicular vector to define a plane...so my guess was that we need 3 perpendicular vectors to define a plane in R5. Why am i wrong?
Interesting! I once took a stats course, and that's all we did :P Maybe things have changed over time, or my stats course wasn't advanced enough!
Also, the way I define plane is a 2-dimensional plane, so you only need 2 perpendicular vectors. The concept you're thinking of is a hyperplane, which is basically an object in R^n that has dimension n-1, so in R^3 this becomes a 2d object, but in R^5 it's a 4d object (not sure where you got the 3 from :))
I totally see you point: 2 perpendiculars vectors "define" a space.
I'm old schooled, pardon me prof, i just was thinking about the "function". In 3D the function describing a 2D plane is is something like ax+by+cz+d=0 where the vector "defining" the plane is the vector V , otherwise the vector perpendicular to every vectors in the plane. So i just made the wrong inference in R5.
LOL, things didn't change since the Gauss formulated the "error theory" (hope the translation is right). Back then they were wondering "what if i take repeated measures of a an event?" Well they all noticed that they never got the same f(x) value for a specific x value. Gauss just came out and wrote "well, assuming you aren't doing anything special to alter the measure, well in that case we must assume that any measuring error is totally random. In that case the probability of getting a value (X-E) (where X is the true value) must be equal to the prob of getting (X+E). So that's why Gauss induced a function which had to be simmetric (around the Y axis) and always positive to describe the density of prob the error. That means each f(x) value for any value X measured value had to be biased and Xi (for every i) itself had to be a random gaussian variable.
Back then, Gauss didn't foresee that nature couldn't be described by cause and effect and all the variability had not to be related to measurement only. We live in an universe where only a small fraction of the events are regular enough to be succesfull costrained in a "cause and effect" frame. Most events are totally random or they might have a very thin regularity which can be extracted by statistic laws. I know you dream that all universe is just a math universe which can be explained by our very human capability to synthesize thing, but it's not. Feynman was right and Bohm too. The more you look at "things" the less you can explain them in a "theory of everything". One of the most peculiar bias of our mind is to remember "positive" facts and discharge what we think is false. We hardly come back to analize and dissect why we thought a fact was false...we just keep building on a lie. That's true in every field....from philosophy, through physic...to math. I really can't stand those ppl who think we live in a neo-platonic world.
please make more about linear algebra :D
I like what you said around 8:30
You should put a link to it in the description
Ah yes but WHAT is the Matrix, Neo?....
Thanks sir you gave us very best insight
Do you have any suggestions for any linear algebra classes online?
Mmmmh, not sure, but on my webpage math.berkeley.edu/~peyam there are a bunch of useful linear algebra and differential equations-handouts, if you click on Math 54.
Hey Dr Peyam,
Just curious . . .
Wouldn't it save much more time if you didn't write in ALL CAPITALS?
It would, but I can only write in cursive, which apparently people can’t read, so since I can’t write in print, the only alternative is to write in capitals!
Oh, I see !
what is difference between a vector and a space ?
A space is a set (collection) of vectors.
The OMG Burger is out of this world!
More Fourier Series! Yay!
Do something like 3blue1brown channel, less intuitive more rigorous
Thanks for the overview, it was nice but i fucked up my test anyway :(
f(x)=x is easily transformed. It's just f(x)=sin(x) lol :P
Also it would be interesting to see how and why you can solve laplace and poisson equations. On a complex vector space, for which dimensions are the solutions of an "Anfangswert-Problem" unique for these kinds of PDE and stuff like that. Still love your videos!
When do we actually need this apart from the exam? As a guitarist this feels like learning every single scale without knowing how to strum a single fucking cord.