Linear Algebra: QR Factorization

[@Chiefpilot414]

I've just watched 4 different videos of this same topic and you explained it the best. Thanks, I have a final tomorrow.

[@C3LL488]

Yeah... most of them skipped the normalizing parts

[@tpat90]

I am sorry but, Q is not orthogonal. It is not left and right inverse with Q transpose. You get Q^TQ = I (so it holds for the usage in this example) but QQ^T !=I To be orthogonal Q would need to be a square matrix.

[@LAnonHubbard]

Hi, thanks for the video. It was helpful but would've been cleaner if at around 4:00 it wasn't written down that u_2 = RHS where RHS is not a unit vector.

[@rajithodlme]

thanks for the videos, any videos on jacobi/subspace iteration & householder technique?

[@gaiusjuliuscaesar9296]

This video explained QR factorization better than my professor did in half the time of his lecture. Thanks!

[@raduchivu3713]

Hello , does this algorithm works for a Square Matrix ?

[@PRAKASHKUMAR-qx9tq]

thanks bro , its a great video and very helpful.... :)

[@dennisalexander2021]

Cool man! Your “easy” process is true and proven

[@rikkoputra4467]

how to get U3?

[@TheFlexXMLG]

Thank you, this helped me a lot.

[@ashaammu4918]

I am new subscriber.....(3×3)matrix using u3 formula ........rply plsss???????

[@s055001]

when i use matlab it comes out the exact same number except the sign, why is that?

[@stumashaal6365]

bad call using a semi orthogonal matrix in a lesson that's meant to explain QR factorization. At least mention it.

[@meysamjavadzadeh]

u just save me from failing bro.tnx

[@piyushabhatt7758]

Could you please recommend me the textbook you have used for QR factorization?

[@Dee-kb3vw]

Thanks, your video help me a lot.

[@AssassinGrudge]

Thx a lot it real help , Linear Algebra is so important in Computer graphic and computer vision and i forget about it XD so ur video are helping thx again

[@hyena1682]

If you forget to divide u2 by its length, please make sure you rewrite that. There is nowhere in scientific computing where "u2=a, u2=b" is allowed.

[@justinjager8412]

Kinda late but doesn't he say smth like "we're gonna divide by it's length later" which he does

[@Heeeeeeeeeyz]

Hello, Can someone tell me how to get U3 .. if we have 3*3 (M) matrix..??

[@ashleyp3867]

whats the algorithm for u? how do you calculate u_3?

[@nbk9402]

why did you divide length of m1 for u1 and length of u2 for u2?

[@nbk9402]

+nbk nvm got it!

[@cjhhoo90]

Thank you for your help!

[@Squiel91]

Good explanation and cute teacher. what else can i ask? haha

[@hauntedbyrobots]

king

[@madhuri.tomar1]

upper triangle matrix is only possible with square matrix ... i think?????

[@tpat90]

Actually the definition is, that there are 0 beneath the main diagonal. So upper triangle matrix is usually considered as a square, but can be non-square.

[@Romotola]

Great method for calculate R! Thanks

[@ahexcuseme6936]

Bless you 🙏

[@TheMrlnrnn]

Nice video, thanks

[@catherincatherin5315]

thank u keep rocking

[@ashikrahman9035]

U r awesome man!!

[@-Good4Y0u]

very helpful, thank you

[@ivanconstan9322]

top!! thank very much!!

[@AhmedElsayed-vz8mc]

good job thank you

[@HondaPowerMT5]

Thank you:)

[@geekiayanagejayawardena5948]

I think your u2 calculation is missing a ||u1|| under the u1.. so it should be u2 = m2 - (/).u1 right?

[@kcaz64]

+Geekiayanage Jayawardena It's been 7 months so you probably don't need this answer anymore... but he did not make a mistake there. He already normalized u1, so there was no need to divide by the length again.

[@MrWolfgangWeiss]

Try multiplying your Q by R and we do not get our M so something you did is wrong :(

[@milomolo7702]

i just did it and i get M by multiplying Q & R

[@turbopro10]

I did, and Q*R = M

[@ad2181]

Acting so smart at 6:51 you made a mis-statement "mult by Q transpose" it should be left mult by Q inverse instead. Next because Q is orthonormal the Q inverse is Q transpose. That prevents a jump in logic.

[@Cristian-vl8pg]

Incorrect.