QR decomposition (for square matrices)

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This video is about the QR decomposition for square matrices. I show the algorithm with the help of an example.
I hope that this helps students, pupils and others.
#LinearAlgebra
(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

Опубликовано:

21 мар 2020

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Комментарии : 81

@brightsideofmaths Год назад

Download the PDF version here: tbsom.de/s/ov

@jabir5768 3 года назад

Finally someone that doesnt waste time, and shows clear precise explanations, thanks a lot

@alexman97412 3 года назад

I'm french and you are a german speaking english explaining this better than my teacher ... thanks

@brightsideofmaths 3 года назад

Thank you very much! I will also do some French tutorials in future :)

@rosarionight7633 3 года назад

A really nice explication for the theory behind the QR Method in Numerical Methods ! Thank you !

@PavelVlasak 3 года назад

Thanks, crystal clear and easy to understand explanation

@MattaparthiShivaBhargav Год назад

i love the energy and thankyou very much for explanation.

@shyamyadav3163 3 года назад

Thank you so much. Your videos are awesome.

@moncef2733 3 года назад

I'm french, and I still can't understand the lack of explanation of my french teacher considering an english teacher just explained me way better how this works in 15 minutes than my teacher in 3 months. tysm ❤

@wailandaloussi9111 3 года назад

oui j'avoue en cours on comprend rien

@PunmasterSTP 2 года назад

How have your classes been going?

@vanhoa2856 2 года назад

so touching for an excellent video

@indumathi5182 Год назад

Thanks a lot sir, I understood the actual meaning Gram Schmidt process as well as QR decomposition.

@galeboetticher5373 3 года назад

This is Gold

@calinopincariu5530 3 года назад

Nice, thank you!

@lorenamamede8442 9 месяцев назад

Thank you so much!! Perfect explanation!

@brightsideofmaths 9 месяцев назад

Glad it was helpful! :)

@kautukraj 4 года назад

Very helpful!

@PunmasterSTP 2 года назад

QR decomposition? More like "This is excellent exposition!" Thanks again so much for all of these videos.

@zuper5842 3 месяца назад

charro

@PunmasterSTP 3 месяца назад

@@zuper5842What does that mean?

@richardzhou2659 4 года назад

Your videos are so nicely made I'm motivated to learn German just to understand some of them 😂. Hope you're well!

@luca7x689 3 года назад

Lol

@ahsink.3080 2 года назад

Thank you so much, you really helped

@amaramar4969 5 месяцев назад

quick , clear and complete. Why doesn't my college prof explain like you? Thanks! I subscribed.

@polarettoallasbugba 4 года назад

These videos are awesome, thank you for everything. Do you plan to translate your linear algebra series to English as well?

@brightsideofmaths 4 года назад

Yes, I am working on it :) ru-vid.com/group/PLBh2i93oe2qtXb7O-kPaEhAtFEb3n9Huu

@stryckeurs9250 Месяц назад

Even if english isn't my native language so its a little bit complicated ur video is amazing thank you

@larubiano0 Год назад

Thx, great help + easy explanation

@brightsideofmaths Год назад

Glad it helped!

@esi5743 Месяц назад

Very helpful, thank you!

@brightsideofmaths Месяц назад

Thank you for the support!

@TheRojo387 Год назад

I read that this method is useful for finding the roots of polynomials via repeating the process to estimate limits that represent the eigenvalues of the equivalent matrix.

@user-hy5te5rf4b Год назад

realy good video thank you a lot

@umbranocturna6342 3 года назад

Helps a lot with my Exam preperations.

@PunmasterSTP 2 года назад

How'd your exams go?

@umbranocturna6342 2 года назад

@@PunmasterSTP barely passed

@PunmasterSTP 2 года назад

@@umbranocturna6342 Hey, a pass is a pass! How have things been going since then?

@strai5150 4 года назад

...yo bruh!! Stay safe from covid19✌️

@mkt92z 2 месяца назад

before normalizing, werent you suppose to divide by the dot product by ?

@Zikkiii 7 месяцев назад

thank you sosososo much😍

@brightsideofmaths 7 месяцев назад

You're welcome 😊

@mathewalter 4 года назад

Many thanks for this inspiring and profesional talk. What software do you use for recording and writing?

@PunmasterSTP 2 года назад

I've seen him mention elsewhere that he uses Xournal.

@zubairshaikh7093 2 года назад

Thankyou Sir

@lancelofjohn6995 2 года назад

Thank you, your video save my exercise!

@brightsideofmaths 2 года назад

You are very welcome :)

@PunmasterSTP 2 года назад

How'd the rest of your class go?

@lancelofjohn6995 2 года назад

@@PunmasterSTP It goes well.:-)

@PunmasterSTP 2 года назад

@@lancelofjohn6995 I am glad to hear it!

@Tarzan_of_the_Ocean Год назад

very good video🤝🙏👏

@user-wg5qp4zh5k Год назад

excellent video

@brightsideofmaths Год назад

Thanks :)

@hopelesssuprem1867 Год назад

I've just solved your last example and it was hard)

@syc8066 22 дня назад

Would you consider doing a video on the SVD?

@brightsideofmaths 22 дня назад

Yes, that is the plan.

@sourabhsingh341 Год назад

Wie geht es ihnen!? I am new in Germany and loving this country

@robn2067 4 года назад

Don't you have to consider the sign in front of scalar products in your R matrix?

@hamzahajjou5221 3 года назад

The matrix R contains scalar products only without the sign

@petersagitarius4356 Год назад

please, do you have some url link to QR decomposition for non-sqare matrices ? (I read that QR is possible to apply for non-squared matrix also) Thanks.

@brightsideofmaths Год назад

It's not so different. Maybe wikipedia can already help you.

@MrJeromelejeune Год назад

Hello, nice tutorial however, could you explain why signs are completly the opposite when we compute it on matlab? I had the same problem on an other matrice: A=[1 2 3;2 4 5;1 6 7], when I apply [Q R]=qr(A), it returns me some negative values in R matrix. By definition it shouldn't be possible... could you explain this please?

@brightsideofmaths Год назад

Which signs?

@Baskakwiatkowska Год назад

Thank you!

@user-wg5qp4zh5k Год назад

Youre welcome!

@ukaszwysocki5790 Год назад

QR to tematycxny filmik

@brightsideofmaths Год назад

@@user-wg5qp4zh5k Indeed :)

@bashiruddin3891 3 года назад

Inserts "Nooice" gif

@souadbougadi2417 2 месяца назад

What is Q come the name what might for example décomposition of LU L lower U Upper

@brightsideofmaths 2 месяца назад

Q could refer to "orthogonal matrix" where O is not used for obvious reasons :D

@souravsamant Год назад

example 10:20

@DennisB1109 3 года назад

Why is a1 = 1? I thought a1 is the vector (1 1)

@PunmasterSTP 2 года назад

I think you're right; a1 is the vector (1,1). But after you normalize it and make q1, then the magnitude of that normalized vector is 1.

@medaphysicsrepository2639 Год назад

7:47

@brightsideofmaths Год назад

13:30

@medaphysicsrepository2639 Год назад

@@brightsideofmaths personal note bc I know im going to be coming back to this video again, great job

@brightsideofmaths Год назад

@@medaphysicsrepository2639 Ah, personal notes should note in public comments :) Nice that you can use the video. I also have a whole course about linear algebra: tbsom.de/s/la