You are the first teacher I saw that actually explains things properly. I can tell you do know what you are talking about, unlike many others on youtube that just pretend to know. Congratulations, you are excellent and thank you for teaching us, you really helped me understand this.
watched with joy! your positive vibe makes the whole thing lot easier and more fun to watch and follow! I didn't even realize how quickliy almost a 20-min long video passed! thanks a bunch
Great energy & explanation, nice calligraphy, amazing blackboard (our markers don't have ink half the time in university). It would be nice to mention what is the rank of matrix and do we need to always manually calculate it for us to reason about the matrix itself.
Was obvious it was rank 3 at a glance; C2 = C1 * 2 and C4 = C1 + C3. If you think about it, geometrically they're pointing in the same direction and so are redundant. Linearly dependent as you say. I need a nice way to do this in a function. I could calculate the determinant / matrix of minors (which gives the inverse matrix which multiplied by the original matrix gives the identity). But then all you have is the identity, you've lost the scalar information... I want to reduce the rank of a neural net to make it more efficient. Say your matrix was my NN. In reality it only exists in 3d space. We've got vectors going the same way. So I want to express it elegantly. So I can represent that as a 3*3 identity matrix * a 3d vector surely? The matrix is implicit so I can reduce the whole matrix to a 3d vector. Is that right??? Surely not... If it is, how do I arrive at that vector? Also, the cap... I sung between liking it and strongly disliking it at various stages in the video. I'll watch some more to make up my mind about it.
one small correction 14:40 you are talking about switching the columns not the rows but fair enough its visually clear what you are doing so no big deal.
1) Eliminate the second column because it is just double the first column. 2) Eliminate the first column because it is a linear combination of the 3rd and 4th columns. 3) The remaining 3rd, 4th, and 5th columns have at least one 3 by 3 sub-matrix with nonzero determinant, so the rank of A is 3.
i want to download some videos so i will watch when i go back home coz i dont have wifi at home bt they cant be downloaded please let all your videos to be downloadable
Legit reason why videos exist, I find his video very helpful, and if I do struggle to understand then just simply rewatch it all over until I understand
I love ur work inrly do support u and all but as a question can't we just find the row echelon(withe the third rule) and just count the non zero rows to get the rank? It's the same and much time efficient and ones again I rly appreciate ur work and keep it going fam🤍🤍
You are the first teacher I saw that actually explains things properly. I can tell you do know what you are talking about, unlike many others on youtube that just pretend to know. Congratulations, you are excellent and thank you for teaching us, you really helped me understand this.
Bruh you do have charisma
watched with joy! your positive vibe makes the whole thing lot easier and more fun to watch and follow! I didn't even realize how quickliy almost a 20-min long video passed! thanks a bunch
By far, this is the clearest explanation of a matrix rank. Thanks!
my man's enthusiasm is contagious.. look how happy he is😄
amazing and inspiring !! Especially what he said at the end "stop learning is stop living!"
Your channel is all I need, thank you!
You are officially Morpheus from The Matrix.
Thanks so much for this detailed explanation sir. Much appreciated
The first video that I really enjoyed while understanding the idea of the rank. Thank you!
Most thorough explanation I've seen by far. Thanks a ton
That is some amazing math teaching. I’d have been a much stronger math major in college with you as my teacher.
I love your enthusiasm for maths.
Well done man
God bless you.
I've been searching for your video for a while now
Thanks for the positive informative video. Keep it up brother!
Great explaination!! I was struggling with this topic for some time. Understood after your explanation. Thankyou
bro thanks you just salved my linear algebra applied to computer science class
Amazing I've never thought math could to be interesting like that
Thank you sir... You made it crystal clear.
Your presentation is amazing
Love from India
You are truly excellent bro.
Keep it up ❤
What a great teacher!🤩
love your accent, and your explanation is perfect
Thanks from Pakistan ◉‿◉
You deserve more subscribers, your one video was enough for me to subscribe to your channel, thanks from India
Well done Sir, God bless you for your explanation.
Great energy & explanation, nice calligraphy, amazing blackboard (our markers don't have ink half the time in university). It would be nice to mention what is the rank of matrix and do we need to always manually calculate it for us to reason about the matrix itself.
Loved the energy of you Sir, thanks
superb energy!!! was smiling throughout the video
crazy good video. keep up this work man
Very nice explanation. I wished I had a such teacher when i was a student.
Thank you so much for make me so easy and clearly about this problem.
you helped me a lot from many topics keeping on doing man
Amazing explanation
Thank you so much sir. This video and your other videos have helped me understand some important linear algebra problems.
Thank you for another good lesson in linear algebra. I really understand now.
Very well explained.
I really like the way you explain this, please come teach in my campus..
thank you professor
(from Algeria) 🫡
Thank you so much sir !!!
At 17:02 how can 2 be a pivot, since it has a 7 in the row directly below it?
Prime Newtons you are the best💯
Kkk your energy if fire bra. I'm also a teacher. 😂 l've learned something. You hve alot of energy
Very interesting lesson
Wow, making maths enjoyable. Thanks
Just wonder how we can apply this to the calculation in ai transformer network ?
Thanks from Italy
Thank you sir!!! 👍👍👍
best teacher!
I like this but doesn’t doing column operations like you did technically change the rowspace? You can find the rank without doing that
Alla razı olsun brother ❤❤❤❤❤❤😮😮😮😮
Amen!
great .thank u so much
Difference between columns and rows?
thanks man!!
Thank you so much
Awesome 🎉
Very good .
At 9:30, it will be -r2 and not -r1 (as shown in video).
you are correct!
Thank you
😍thanks
thanks a lot sir
Nice
Thank you for the explanation, you have a nice hat :p
Was obvious it was rank 3 at a glance; C2 = C1 * 2 and C4 = C1 + C3.
If you think about it, geometrically they're pointing in the same direction and so are redundant. Linearly dependent as you say.
I need a nice way to do this in a function. I could calculate the determinant / matrix of minors (which gives the inverse matrix which multiplied by the original matrix gives the identity). But then all you have is the identity, you've lost the scalar information...
I want to reduce the rank of a neural net to make it more efficient. Say your matrix was my NN. In reality it only exists in 3d space. We've got vectors going the same way. So I want to express it elegantly.
So I can represent that as a 3*3 identity matrix * a 3d vector surely? The matrix is implicit so I can reduce the whole matrix to a 3d vector. Is that right??? Surely not...
If it is, how do I arrive at that vector?
Also, the cap... I sung between liking it and strongly disliking it at various stages in the video. I'll watch some more to make up my mind about it.
Thank u sir
❤❤❤
Thanks
one small correction 14:40 you are talking about switching the columns not the rows but fair enough its visually clear what you are doing so no big deal.
1) Eliminate the second column because it is just double the first column.
2) Eliminate the first column because it is a linear combination of the 3rd and 4th columns.
3) The remaining 3rd, 4th, and 5th columns have at least one 3 by 3 sub-matrix with nonzero determinant, so the rank of A is 3.
Bedankt
I'm too high for this
❤
tanks bro
you are good
The best
Rank 3! The 4th row pointing the same way as the 2nd row. Well, the opposite way, you know what I mean.
😍
Of course (at 1:00), the conclusion should be "r≤n *and* r≤m", not "or".
I wonder why none of the viewers mentioned this...
I need one more example Rank matrix
Email me a matrix
Sharp ✅✅
i want to download some videos so i will watch when i go back home coz i dont have wifi at home bt they cant be downloaded please let all your videos to be downloadable
Tôi không hiểu tiếng anh. Mọi ma trận đều đưa được về dạng đó ư?
Yes. All matrices can be reduced to this form.
Okay
nice vid🫰🏻
ok
Introdacion
ریاضی راهی برای شناختن و توصیف پدیده های جهان ما است ...
🇮🇷
Stop teaching nonsense, how do you want people to understand this when you're too fast
You can watch at half the speed. Not everyone is slow.
Legit reason why videos exist, I find his video very helpful, and if I do struggle to understand then just simply rewatch it all over until I understand
Reduce playback speed or pause when you don't understand. I understood the video without doing any these, everyone isn't that slow
I love ur work inrly do support u and all but as a question can't we just find the row echelon(withe the third rule) and just count the non zero rows to get the rank?
It's the same and much time efficient and ones again I rly appreciate ur work and keep it going fam🤍🤍
You are truly excellent bro.
Keep it up ❤
❤❤❤
❤
❤