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.
I wanted to thank you for your amazing linear algebra videos. I’ve learned so much from them, and your clear explanations and engaging teaching style have made understanding the subject so much easier for me. Your videos have been incredibly helpful in breaking down complex topics into concepts that are easy to grasp. I truly appreciate the effort and passion you put into making these lessons. Thank you for helping me build a solid foundation in linear algebra!
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.
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.
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.
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.
Glad it was helpful!
Wanted to comment something but this comment sums it up perfectly.
@@KoVer10 I totally agree with you
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!
You explained the concept fabulously! Thanks!
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!
That's a pretty long time ago. You are one of those who have not stopped learning.
I wanted to thank you for your amazing linear algebra videos. I’ve learned so much from them, and your clear explanations and engaging teaching style have made understanding the subject so much easier for me.
Your videos have been incredibly helpful in breaking down complex topics into concepts that are easy to grasp. I truly appreciate the effort and passion you put into making these lessons.
Thank you for helping me build a solid foundation in linear algebra!
Awesome man this really helped and you explained it thoroughly but not to the point that it gets boring
man where have you been earlier i watched a milion videos and understood it with only this video
Thank you so much for breaking down the idea and presenting it in such a simple and clear way!
the video is chill, simple and to the point. i like it.
you deserve all the best💙💙
Men that's such an awesome explanation. Thanks for your effort!
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.
Thank you very much ! Your video is amazing for french people because we don't have so much as good as yours. Thank you :)
Excellent teacher right there! Love your chill vibe helps me focus so much. Wish you covered LTLt and LDU decompositions as well :)
Thank you, explained in a very simple way. Youre a very good teacher
hello at 19:18, for case 2 after the row switch of R1 and R3, R3=1R1+R3 not R3=1R1+R2
The best explanation! Thank you so much!
Sir i really love the way you teach, every video is very concise and helpful, appreciate it
Amazing explanation. Commenting for the algorithm :)
Sir i love your teaching 😊😊
You are genius sir.
great video, good and concise
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.
Why is it like that?I am new to the concept..
i have exam within a week and this video is a blessing🤩 Thank u sir
Fantastic 😍😍 dear sir🎉❤😊😊
very comprehensive explanation
Wow fantastic work
To the point explanation! Was really helpful thank you!
Excellent,really excellent explanation!!!
Is it just me or is his voice so relaxing
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
thank you very good video i love your attitude
you are my man! thanks mate!
at 17:09 it is written that R3 = 1R1 + R2. but should be R3 = 1R1 + R3 I believe?
Outstanding. You could replace Gilbert Strang at MIT.
That's what I call extreme compliment 🤣🤣🤣. Thank you.
sir you are really intelligent
Is there a video of 4x4 matrix?
Thnx a lot prof
But I think there is a mistake
At 17:05
R3= r1+r3
Verify
Excelente explicación, muy fácil de entender.
sir how did you have -2,-1,1 in the lower matrix? because what you have is postive value that gave us upper matrix
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.
exactly I noticed that
i really like this video, it's very easy to understand
Thank you sir you made me understand about P Matrix
you're the goat
what if entire intermidiate row becoms zero in U matrix ?
Great video! Btw, Lupa means wolverine or Luncheon package
That's interesting 🤔. Thanks 😊
You're a legend.
Never stop recording videos
Thank you for the support.
good work done
annnaaaaaaa masss annaaaaaaaaaa
explained really well !!! Thank you
Glad it was helpful!
Even I understood it! Amazing
perfect explanation
Atleast I got something from this video
thank youuuuuuu very very much ❤❤❤❤❤❤
damn!.. You're amazing
Amazing
Sir your Case 2 for LU = PA is incorrect, LU is giving back A, not PA
Yes the A in case 2 was wrongly placed as the augmented A
Well understood...thank you
Thank you sir.
Excellent your 's way of teaching sir
A in case 2 just put it in the same order of row as the origin
I think for the two to be equal P must be the identity matrix matrix
thank you
You are a G
Perfect
Very accurate
Thanks
🙏♥️♥️
good but video quality........
Fantastic 😍😍 dear sir🎉❤😊😊
Thank you
Thanks