QR decomposition (for square matrices)

[@brightsideofmaths]

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

[@jabir5768]

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

[@alexman97412]

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

[@brightsideofmaths]

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

[@moncef2733]

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]

oui j'avoue en cours on comprend rien

[@PunmasterSTP]

How have your classes been going?

[@amaramar4969]

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

[@brightsideofmaths]

Nice :)

[@PunmasterSTP]

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

[@zuper5842]

charro

[@PunmasterSTP]

@@zuper5842What does that mean?

[@richardzhou2659]

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

[@luca7x689]

Lol

[@galeboetticher5373]

This is Gold

[@umbranocturna6342]

Helps a lot with my Exam preperations.

[@PunmasterSTP]

How'd your exams go?

[@umbranocturna6342]

@@PunmasterSTP barely passed

[@PunmasterSTP]

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

[@vanhoa2856]

so touching for an excellent video

[@MattaparthiShivaBhargav]

i love the energy and thankyou very much for explanation.

[@PavelVlasak]

Thanks, crystal clear and easy to understand explanation

[@indumathi5182]

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

[@lancelofjohn6995]

Thank you, your video save my exercise!

[@brightsideofmaths]

You are very welcome :)

[@PunmasterSTP]

How'd the rest of your class go?

[@lancelofjohn6995]

@@PunmasterSTP It goes well.:-)

[@PunmasterSTP]

@@lancelofjohn6995 I am glad to hear it!

[@stryckeurs9250]

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

[@animenmusic16]

The accent is sometimes hard for me to catch but the video is great

[@TheRojo387]

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.

[@rosarionight7633]

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

[@lorenamamede8442]

Thank you so much!! Perfect explanation!

[@brightsideofmaths]

Glad it was helpful! :)

[@mkt92z]

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

[@yuyuhe9874]

You are correct. But since q1 is normalized which makes its dot product equals 1, it is skipped.

[@polarettoallasbugba]

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

[@brightsideofmaths]

Yes, I am working on it :) kzbin.info/aero/PLBh2i93oe2qtXb7O-kPaEhAtFEb3n9Huu

[@esi5743]

Very helpful, thank you!

[@brightsideofmaths]

Thank you for the support!

[@shyamyadav3163]

Thank you so much. Your videos are awesome.

[@strai5150]

...yo bruh!! Stay safe from covid19✌️

[@larubiano0]

Thx, great help + easy explanation

[@brightsideofmaths]

Glad it helped!

[@calinopincariu5530]

Nice, thank you!

[@sourabhsingh341]

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

[@syc8066]

Would you consider doing a video on the SVD?

[@brightsideofmaths]

Yes, that is the plan.

[@ahsink.3080]

Thank you so much, you really helped

[@VladKozulin]

realy good video thank you a lot

[@mathewalter]

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

[@PunmasterSTP]

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

[@kautukraj]

Very helpful!

[@KrysiaJadzińska]

excellent video

[@brightsideofmaths]

Thanks :)

[@Zikkiii]

thank you sosososo much😍

[@brightsideofmaths]

You're welcome 😊

[@hopelesssuprem1867]

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

[@TonyaMcVicker-v8s]

Hettinger Divide

[@Baskakwiatkowska]

Thank you!

[@KrysiaJadzińska]

Youre welcome!

[@ukaszwysocki5790]

QR to tematycxny filmik

[@brightsideofmaths]

@@KrysiaJadzińska Indeed :)

[@robn2067]

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

[@hamzahajjou5221]

The matrix R contains scalar products only without the sign

[@zubairshaikh7093]

Thankyou Sir

[@MrJeromelejeune]

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]

Which signs?

[@souadbougadi2417]

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

[@brightsideofmaths]

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

[@Tarzan_of_the_Ocean]

very good video🤝🙏👏

[@petersagitarius4356]

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]

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

[@souravsamant]

example 10:20

[@DennisB1109]

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

[@PunmasterSTP]

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.

[@bashiruddin3891]

Inserts "Nooice" gif

[@JohnYuFitness]

My gosh.. QR decomposition by hand for a 5x3 matrix A is so tedious...

[@brightsideofmaths]

I believe you :D

[@medaphysicsrepository2639]

7:47

[@brightsideofmaths]

13:30

[@medaphysicsrepository2639]

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

[@brightsideofmaths]

@@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

[@佳蔚汤]

macam mana nak buat?