L U = P A -Matrix Decomposition/Factoring

[@migueltmpereira]

Simple and to the point. Watched many videos about it and none were as concise and informative as yours. Thank you so much for helping me pass linear algebra.

[@PrimeNewtons]

Glad it was helpful!

[@KoVer10]

Wanted to comment something but this comment sums it up perfectly.

[@TheurKarue]

@@KoVer10 I totally agree with you

[@goodguymario]

Excellent teacher right there! Love your chill vibe helps me focus so much. Wish you covered LTLt and LDU decompositions as well :)

[@youtubeusername1489]

the video is chill, simple and to the point. i like it.

[@laodrofotic7713]

Another good one, you are god sent, seriously gifted. I often say making something complex simple is the true sign of a genius. Thank you!

[@yaasdpalala4492]

You explained the concept fabulously! Thanks!

[@josephparrish7625]

I took linear algebra in 1974 and I never taught it. So I don’t remember this stuff at all. I’m really enjoying this!

[@PrimeNewtons]

That's a pretty long time ago. You are one of those who have not stopped learning.

[@brenomunoz5735]

Men that's such an awesome explanation. Thanks for your effort!

[@medamirsmine9707]

you deserve all the best💙💙

[@samuelvalle6407]

Thank you so much for breaking down the idea and presenting it in such a simple and clear way!

[@danieldanmola8266]

Sir i love your teaching 😊😊

[@tanweerashif]

You are genius sir.

[@volken54]

Excellent,really excellent explanation!!!

[@mikefochtman7164]

Great explanation. We had a simulation of interconnected networks. With something on the order of 20 nodes and about as many pathways, we often ended up with 40 to 60 simultaneous equations, forming square matrixes of the that size. Fortunately we had a nice computer subroutine that did this same L-U decomposition with back-substitution. And yes, it had logic to look for zero in the pivots, perform those row swapping with an auxiliary array that kept track of such pivots. It was an impressive algorithm but just as you show, straight-forward.

[@kellyzhang3422]

Sir i really love the way you teach, every video is very concise and helpful, appreciate it

[@tee6001]

The best explanation! Thank you so much!

[@dyoudt]

great video, good and concise

[@nanamacapagal8342]

Beautiful explanation. My only note here is that in case 2, you do not need to immediately adjust A after adjusting P. You've already done that by L and U. It's like L * U = P * A being 3 * 4 = 1 * 12. If you change P to 2, you don't go back and adjust A to 6. You adjust U from 4 to 8. So now it's 3 * 8 = 2 * 12.

[@annjoetjuby183]

Why is it like that?I am new to the concept..

[@gandaffgh8811]

very comprehensive explanation

[@QaisarAli-fl3th]

Fantastic 😍😍 dear sir🎉❤😊😊

[@ashwinkumar8448]

Amazing explanation. Commenting for the algorithm :)

[@rihurkz]

Thank you sir you made me understand about P Matrix

[@ZaidMinhas]

Sir your Case 2 for LU = PA is incorrect, LU is giving back A, not PA

[@lynxrose3005]

Yes the A in case 2 was wrongly placed as the augmented A

[@tork9067]

i have exam within a week and this video is a blessing🤩 Thank u sir

[@fatlipp]

Even I understood it! Amazing

[@cymonaniek9298]

You're a legend.

[@tabbyblu771]

Atleast I got something from this video

[@georgesteele9718]

Outstanding. You could replace Gilbert Strang at MIT.

[@PrimeNewtons]

That's what I call extreme compliment 🤣🤣🤣. Thank you.

[@ChristopherAkwaboah]

good work done

[@koenth2359]

Great video! Btw, Lupa means wolverine or Luncheon package

[@PrimeNewtons]

That's interesting 🤔. Thanks 😊

[@lelanhuong227]

i really like this video, it's very easy to understand

[@mahmoud_ali_963]

thank youuuuuuu very very much ❤❤❤❤❤❤

[@wessamsamak439]

Thank you

[@mahmoud_ali_963]

thank you

[@sam-wiz]

explained really well !!! Thank you

[@PrimeNewtons]

Glad it was helpful!

[@AbjSir]

Thanks

[@aminenoob9011]

perfect explanation

[@slsgaming2760]

annnaaaaaaa masss annaaaaaaaaaa

[@9181shreyasbhatt]

very nice explanation but a mistake, at 19:19 u s y if u multiply the 2 matrices on left side u get what u multiply on right side. but u don't get that in there. The right most matrix should be the original matrix. the one which is right below the case 2.

[@holyshit922]

Never stop recording videos

[@PrimeNewtons]

Thank you for the support.

[@mercykissi7016]

Well understood...thank you

[@emmanuelkofiamanor7035]

Good morning sir, this is Emmanuel Amanor from Ghana. The two matrices are not equal when i checked for the product of LHS and RHS

[@AaronDetablan]

Amazing

[@virajisudusinghe]

what if entire intermidiate row becoms zero in U matrix ?

[@laodrofotic7713]

at 17:09 it is written that R3 = 1R1 + R2. but should be R3 = 1R1 + R3 I believe?

[@edungdivinefavour6977]

damn!.. You're amazing

[@reddyveeraiah9936]

Excellent your 's way of teaching sir

[@anhduc1017]

A in case 2 just put it in the same order of row as the origin

[@emmanuelkofiamanor7035]

I think for the two to be equal P must be the identity matrix matrix

[@sm-pz8er]

Perfect

[@ebongvalentine7630]

Very accurate

[@ivanioshadhi8238]

🙏♥️♥️

[@greaseTalk]

You are a G

[@QaisarAli-fl3th]

Fantastic 😍😍 dear sir🎉❤😊😊

[@AbjSir]

Thanks