Clear explanation :-) I would argue, however, that @5:25 the notation is a bit confusing, since the norm subscripts usually indicate L1 and L2 norms respectively.
really good video, thanks man. but I think you meant how does change in [A] affect change in [x] (in the solution), because change in [A] does not affect the right-hand side vector [c]
when there is a small change in A then if there is a small change in x then A is well conditioned matrix. I think you have mentioned in a wrong way. It should be small change in x instead of small change in c.
I would go a step further and claim that it should be talken of: small changes in c (Input) should lead to a small or large change in x (output), while A isn't changed at all. Because changes in A leads to considering an other function.
Great explanation but ||A||1 and ||A||2 are not the rows 1 and 2! They are different norms of the Matrix. ||A||1 is the maximum of the columns and ||A||2 is the Hilbert-Norm. ||A||E for example would be another norm, the Euclidean norm.
theres a little mistake in original matrix A it should be -800 not -801 in the determinante calc its correct again ^^ but video explanation is great and helpful ty !
hey ... i think norms is summation of all element of column.. you have used sum of element of row instead of element of column.... please check it out .Thank you
I think you are using wrong notations, l1 norm and l2 normed are very different. They are calculated over minkowski space of p=1 and p=2. Note that I am talking about induced matrix norm, the idea is same.
Dude. The amount of time you have so search for an explanation like yours is gigantic. Finally a awesome explanation. THANK YOU
Right!? It's like the condition numbers of a matrix are hidden knowledge only accessible through the most abstract of proofs.
The best video for condition number of matrix ! Perfect explanation ever with simple examples. Thanks a lot 😊
This is the best explanation I've found anywhere!! Thank you so much for making it make sense!
Happy to help! Thanks for watching!
Clear explanation :-) I would argue, however, that @5:25 the notation is a bit confusing, since the norm subscripts usually indicate L1 and L2 norms respectively.
I agree that.
Ur amazing dude thank u so much! Greetings from TURKEY - Yildiz Technical University 👍
LoL Slow Motions thanks! I’m glad I️ can help. Share my videos with your friends! xD
You’ve answered all questions that I had. Thank you!
Its unlikely you will see this but buddy, you condensed so much of the content that my lectuerer could never do
Fantastic. Clear and concise with an example, thank you!
Perfect explanation. Thank you for actually doing a problem and finding the condition number.
Xavian Marotta glad you could find it useful!
i have matlab celiac disease and this video benefits me greatly
Greetings from the subcontinent Blake. The video is very helpful for beginners like me. Thanks a lot.
ADITYA NARAIN glad I could help!
just the video I was looking for! Great Job!
So much vital and well explained information at once, excellent!
Basic and understandable. Well done mister i really appreciate it.
Excellent..
This video z vry helpful to understand condition number and norm in vry easy way..
Thanx a lot..
thanks! Im happy to help (Y)
Thank you so much! This video saved my life
Sarah Weissman awesome! Glad I could help :)
thanks so much. short and very clear explanation - it helped a lot!
Very nicely explained Blake. Thank you.
Glad I could help! :)
You are such a saviour
But any way this video clarifies so many doubts
Thank you so much bro
The best video on the topic,thank you
Apostolis Ellinakis I’m glad you like it!
I almost overlooked your video because of the quality of your pen but that would be a big mistake. this is one of the best explanation for matrix norm
Musa Sall thanks! Haha my recording gear is pretty potato. Was on that student budget but I made it work lol. Thanks for the view!
Crisp and on the point .. thanks sir
Thanks dude you explained it very good
Thanks for the video. really helpful and easy to understand
Great video, how can we make it well-conditioned?
Thanks for video. Exactly what I was looking for.
Well explained ,💗
excellent..nevr thought of getting the norm and inverse of a matrix lyk dis..!!
+anurima mishra glad I can help! I hope you are finding all of my content useful :)
really good video, thanks man.
but I think you meant how does change in [A] affect change in [x] (in the solution), because change in [A] does not affect the right-hand side vector [c]
yes this got me confused aswell
This is a fantastic video, thank you!!!
great explanation, can you upload more videos on this topic.it will help me a lot
when there is a small change in A then if there is a small change in x then A is well conditioned matrix. I think you have mentioned in a wrong way. It should be small change in x instead of small change in c.
I would go a step further and claim that it should be talken of: small changes in c (Input) should lead to a small or large change in x (output), while A isn't changed at all. Because changes in A leads to considering an other function.
Great explanation but ||A||1 and ||A||2 are not the rows 1 and 2! They are different norms of the Matrix. ||A||1 is the maximum of the columns and ||A||2 is the Hilbert-Norm. ||A||E for example would be another norm, the Euclidean norm.
Great Video! But there is a small mistake: Det(A) in the example uses -800 and not -801 so Det(A) should be -601 right?
The conditional number would be 1668 then
You explained condition numbers well but a warning to anyone watching this, his explanation of matrix norms is inaccurate.
Great and complete,,thanks💐
Thanks for the nice explanatin with example.
Thank you, from INDIAN INSTITUTE OF TECHNOLOGY BOMBAY
thank you man best example i've seen :)
thank you.... great explanation
Thanks man, that was amazing
really good examples
Questfor Calatia thanks! I hope my videos help :)
Thanx for clear explanation
Lifesaver, thank you!
And determinant of A is -601 not -400
And the condition number is equal to 2401.9566
It's -400. The bottom left of A is -800 but he kept writing -801 for some reason in the second part of the video.
good video!
What is the proof of rule of thumb??
theres a little mistake in original matrix A it should be -800 not -801 in the determinante calc its correct again ^^ but video explanation is great and helpful ty !
enoughtime2waste thanks for the heads up! Glad you like my videos :)
Thank you.
1:15 I think you mean "Small change in A results in a small/large change in x" (not c)
hey ... i think norms is summation of all element of column.. you have used sum of element of row instead of element of column.... please check it out .Thank you
thank you so muchhhhh
well explained
Good explanation
Tho ||A||infinity must be 800 not 801.
Please how can I solve ill condition system? ?
I thought I was going insane, there is a typo when he's computing the determinant - he uses the original values 800 not 801 as he rewrites the matrix.
Thanks bro
God bless you
Thank you sir
Thank you
legend
Amazing
i think determinant is wrong it should be 601 but you have written 400 :) plz tell me if i am wrong
youre wrong. norm 1 should be the max column sum.
Great
I think you are using wrong notations, l1 norm and l2 normed are very different. They are calculated over minkowski space of p=1 and p=2. Note that I am talking about induced matrix norm, the idea is same.
bro 801 plus 401 gives 1202
Also, the result must be 2402
Tq sir
thank you