The background sound is very disturbing otherwise the playlist is gold mine. Thanks sir.
@mikethemathematicianКүн бұрын
@tuhinsuryachakraborty Thank you very much! I am sorry about the squeaking noise that the markers make!
@abhireshray8331Күн бұрын
very nicely explained lecture
@mikethemathematicianКүн бұрын
@abhireshray8331 Thank you very much!
@Dxescali2 күн бұрын
underrated content , thankyou sir❤
@mikethemathematicianКүн бұрын
@Dxescali Thank you very much!
@volkandemir63532 күн бұрын
The best and the most detailed Linear Algebra playlist! How many videos we will have? And will we cover isomorphism etc.? Thanks for your effort, I can't wait to review my linear algebra with this unique playlist!
@mikethemathematician2 күн бұрын
@volkandemir6353 I'm not exactly sure how many videos I will make on Linear Algebra before my next class! I have at least ten more lined up. Thanks for watching!
@jdukay63552 күн бұрын
Aside from the math, what amazes me the most is rhay you're writing mirrorred. And naturally. Damn
@mikethemathematicianКүн бұрын
@jdukay6355 Thank you very much!
@mathcritic3 күн бұрын
Just came across this channel. Very nice explanation of cuts!
@mikethemathematicianКүн бұрын
@mathcritic Thank you very much!
@punditgi3 күн бұрын
Thanks for the video 😊
@mikethemathematician3 күн бұрын
@@punditgi you are welcome!
@volkandemir63533 күн бұрын
Thanks for video Sir but why we limited us with alpha and beta greater than 0*? Didn't we define show that multiplication of real numbers are closed?
@volkandemir63533 күн бұрын
Crystal Clear! Thanks for the video!
@mikethemathematician3 күн бұрын
@volkandemir6353 Thanks so much!
@volkandemir63533 күн бұрын
Awesome video. Thanks!
@mikethemathematician3 күн бұрын
@volkandemir6353 Thanks so much!
@r2k3144 күн бұрын
Wow. I never saw that derivation before. Really nice. I get chills when I see evidence that math is a seamless whole, if you know what I mean.
@mikethemathematician4 күн бұрын
@r2k314 Thanks so much!
@cartel.barranco5 күн бұрын
Thanks
@ElserLópez-u7l5 күн бұрын
Thanks! I was looking for a proof like this. Do you have any references or sources? I am currently working on my master's thesis and would like to cite a proof like this.
@volkandemir63535 күн бұрын
Sir, how can U dot V can be equal to u transpose times v. left side is a scalar and right side is a 1x1 matrix. We can multiply left side by a 2x2 matrix but we cant multiply right side by a 2x2 matrix. So, we can easily see that 1x1 matrices are not scalars. Aren't we?
@tirthasg5 күн бұрын
Shouldn't the Col(A^TA) be equal to the Col(A^T) instead?
@fateemasayuti94005 күн бұрын
Thank you very much sir. Well explained, I have been watching different videos on KZfaq but this one did the trick👍
@mikethemathematician5 күн бұрын
@fateemasayuti9400 Thanks so much!
@volkandemir63537 күн бұрын
New Linear Algebra video. Thanks!
@mikethemathematician7 күн бұрын
@volkandemir6353 More coming every day this week and every day next week!
@slavinojunepri76487 күн бұрын
Excellent
@mikethemathematician7 күн бұрын
@slavinojunepri7648 Thanks so much!
@J-B-Free8 күн бұрын
I was with you all the way through “Hello students…“ 😅
@mikethemathematician7 күн бұрын
@J-B-Free Thanks for watching! I will try to post some more basic options videos!
@volkandemir63539 күн бұрын
Sir, thak you for your work. But I cant understand the notation of addition that u used in this video. alpha and beta are sets. So how do we add them? What does this addition mean?
@mikethemathematician9 күн бұрын
@volkandemir6353 Since alpha and beta are Dedekind cuts, they are subsets of the rationals. We can define alpha+beta = {a+b| a \in alpha and b \in \beta} This will also be a subset of the rationals. We need to check that it is also a Dedekind cut and that it has all of the properties of the addition that we know and love! Great Question!
@volkandemir63538 күн бұрын
@@mikethemathematician Wow, thanks for your quick answer. I appreciate your effort.
@timbadger639310 күн бұрын
What textbook is used for this class?
@mikethemathematician10 күн бұрын
@timbadger6393 I reference a ton of different texts. The main sources are Linear Algebra Done Right (Axler), Linear Algebra Done Wrong (Treil) and Matrix Analysis (Horn). Thanks for watching!
@lwannaw251711 күн бұрын
Thank you sir❤
@mikethemathematician7 күн бұрын
@lwannaw2517 Thanks so much!
@personxy744312 күн бұрын
thank you,Mike teacher.
@mikethemathematician12 күн бұрын
@personxy7443 Thank you!
@shark624812 күн бұрын
Nice explanation
@mikethemathematician12 күн бұрын
@shark6248 Thanks so much!
@jwigs9115 күн бұрын
Thank you for uploading this equation! This was very informative and was a clear presentation of how to determine this on larger matrices.
@mikethemathematician14 күн бұрын
@jwigs91 I am glad that it helped!
@forheuristiclifeksh783617 күн бұрын
0:18 fejer kernel. Heatkernel
@Leo-zj2qp17 күн бұрын
But how do you determine the probability of bull average and bear?
@forheuristiclifeksh783618 күн бұрын
5:41 cauchy euler
@forheuristiclifeksh783618 күн бұрын
8:02 e itheta
@forheuristiclifeksh783618 күн бұрын
2:16 trigonometric polinomials
@forheuristiclifeksh783618 күн бұрын
3:37
@user-hr8uj4qw4k18 күн бұрын
I think the iid assumption can be relaxed to just being jointly independent.
@mikethemathematician18 күн бұрын
@user-hr8uj4qw4k Absolutely! I usually try to put good but not optimal assumptions in the theorems that I prove!
@tianshugu928318 күн бұрын
Thank you prof Mike, your analysis and linear algebra lectures are wonderful
@mikethemathematician18 күн бұрын
Thanks so much @tianshugu9283
@punditgi19 күн бұрын
Always good to go higher. Excelsior! 🎉😊
@mikethemathematician18 күн бұрын
@punditgi Thanks so much!
@punditgi19 күн бұрын
Mike is indeed our mathematician! 🎉😊
@mikethemathematician19 күн бұрын
Thanks! @punditgi
@abdallahshariffu460321 күн бұрын
well done sir👏
@mikethemathematician21 күн бұрын
@abdallahshariffu4603 Thanks so much!
@l.m.843921 күн бұрын
Thank you so much! It really makes sense now
@jasmeetsingh127523 күн бұрын
Sir , how to find the mean and variance of the above f(x)
@mikethemathematician23 күн бұрын
@jasmeetsingh1275 You can out more in this video! It has the moment generating function of exponential random variables! This is all you will need to find the mean and variance. kzfaq.info/get/bejne/q8iDjZt7l72ZdoU.html
@black4optic23 күн бұрын
Great explanation
@sadiashahzadi684125 күн бұрын
Well done job
@jacobdominski26 күн бұрын
This is a great video, but I am confused about how you are writing it! Are you writing it from right to left?
@mikethemathematician26 күн бұрын
@@jacobdominski the camera mirrors my image after I record! Cool isn’t it?
@unknown-nf5sf26 күн бұрын
Can u make Laplace equation in polar coordinates for three dimension??
@lucascorrea411922 күн бұрын
You're probably either looking for spherical or cylindrical coordinates. For cylindricals, it is not really that different from polar, and for Sphericals, there's a video here on the chanel for it.
@yonathanmussie932327 күн бұрын
can you also do about pcl(principal component analysis ) and the concept of distance please
@mikethemathematician27 күн бұрын
@yonathanmussie9323 You bet! Those videos will come out soon! I will comment when they are ready!
@peteedwards146128 күн бұрын
Where was this when i was in calc 4 😢
@mikethemathematician27 күн бұрын
@peteedwards1461 Sorry I wasn't there earlier! Thanks for watching! I am here to help now!
@marcelosebastian544228 күн бұрын
Awesome bro! May I ask you what happens if we put M - N?
@mikethemathematician28 күн бұрын
@marcelosebastian5442 The support of M-N will be the entire collection of integers (both positive and negative), so it typically isn't considered as Poisson random variables are usually used to model nonnegative counts. Thanks for watching!
@volkandemir635328 күн бұрын
Thanks for videos Sir. I newly saw your channel and it is amazing. Can you write the name of the books that you are following for that playlist to description of playlist. Which book do you use for linear algebra?
@mikethemathematician28 күн бұрын
@volkandemir6353 Thanks for watching! I use my own notes, but I reference Linear Algebra Done Right by Axler and Linear Algebra Done Wrong by Treil!
@ongoldenpiАй бұрын
So why haven't mathematicians APPLIED this inequality to Archimedes' n-gon approach? If Isoperimetric Inequality is true, it is IMPOSSIBLE to converge to a perfect circle from a non-. Mathematicians have yet to apply what this inequality tells us about circle vs. non- comparisons.
@TC159Ай бұрын
Hi isn't it easier to compute the matrix by seeing that if you divide it into 2x2 blocks, each of these blocks embed in a 2 dimensional algebra a + b.e where e² =1. This algebra is commutative. So the determinant of the original matrix corresponds to: (a +b.e)² - (c +d.e)² = (a + c + (b+d).e)(a - c + (b-d).e) Now, the determinant now corresponds to the determinant of this product (by reembedding it into the matrix algebra) which is much easier to do, and to factorize.
@TC159Ай бұрын
You can also just compute the final determinant through the norm (this is a finite dimension algebra extension after all, so the norm corresponds to the determinant of its embedding) (The only automorphism which fixes the base field is e -> -e.)
@joekemp83Ай бұрын
You really need to slow down your speech. Or, more importantly, PAUSE between concepts so listeners have the opportunity to process what you say.
@mikethemathematicianАй бұрын
@joekemp83 Thanks for the comment! My students tell me the same thing! It is something that I will work on in the future! Thanks for reminding me!
@ongoldenpiАй бұрын
Apply this to Archimedes' 3rd postulate in his 'CIRCVLI DIMENSIO' P > c > p for circumscribed n-gon perimeter P & insc. n-gon perimeter p & circle circ. c. If isoperimetric inequality is true, Archimedes' 3rd postulate is unsound. In fact, all non-circular approaches are unsound due to the inequality. To solve for π while/as preserving isoperimetric equality, you have to treat each π/4 as n = 1 such that n = 4... not n → ∞. Do this by rolling the unit diameter circle on a flat plane surface y = -1/2 & use algebra to find the linear distance its origin travels per π/4. Hint: if you expand a second circle from the first by an areal factor of π/4 per rotation, you will end with a surrounding annulus of area π. Use the width of this annulus w & its orthogonality to π/4 length to construct a right triangle sides w, π/4 bounded by a hypotenuse of 2r = 1. pdfhost.io/edit?doc=7507a819-627f-4eee-beaa-441e685e5157