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
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.
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.
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
my man's enthusiasm is contagious.. look how happy he is😄
You are officially Morpheus from The Matrix.
Thanks so much for this detailed explanation sir. Much appreciated
Bruh you do have charisma
By far, this is the clearest explanation of a matrix rank. Thanks!
Most thorough explanation I've seen by far. Thanks a ton
I am so happy to find your channel on RUclips! Your explanation is so clear that I will get an excellent mark on the Linear Algebra Test!
I love your enthusiasm for maths.
The first video that I really enjoyed while understanding the idea of the rank. Thank you!
amazing and inspiring !! Especially what he said at the end "stop learning is stop living!"
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
You deserve more subscribers, your one video was enough for me to subscribe to your channel, thanks from India
Thanks for the positive informative video. Keep it up brother!
Your presentation is amazing
I am indian you are good teaching ❤
Really helpful and precision explanation 🙏
Your channel is all I need, thank you!
That is some amazing math teaching. I’d have been a much stronger math major in college with you as my teacher.
Love from India
Very nice explanation. I wished I had a such teacher when i was a student.
Loved the energy of you Sir, thanks
superb energy!!! was smiling throughout the video
Well done man
God bless you.
I've been searching for your video for a while now
Thank you so much sir. This video and your other videos have helped me understand some important linear algebra problems.
What a great teacher!🤩
Well done Sir, God bless you for your explanation.
Thank you so much sir. It was clear as crystal.
Thank You, Don´t Stop Teaching!
Clear explanation thank you so much! Needed a refresher :)
finally found a matrix video so clearly explained and so interesting at the same time!
thanks man, you made my doubts only in a matters of minutes
Thank you so much for make me so easy and clearly about this problem.
Thank you sir... You made it crystal clear.
Ready for my linear algebra exam.thankyou so much
Love from India🇮🇳❤
I really like the way you explain this, please come teach in my campus..
Thank you for another good lesson in linear algebra. I really understand now.
wouvvv super. loved your lesson so much
Amazing I've never thought math could to be interesting like that
Bros rizz is out of this matrix
thank you professor
(from Algeria) 🫡
Wow, making maths enjoyable. Thanks
love your accent, and your explanation is perfect
At 17:02 how can 2 be a pivot, since it has a 7 in the row directly below it?
Thank you Mr. Newton, you are saving me and my grades! 😂
You are truly excellent bro.
Keep it up ❤
you helped me a lot from many topics keeping on doing man
Amazing explanation
your chalk seems glorious loll why is it so smooth and pigmented
Very interesting lesson
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
Alla razı olsun brother ❤❤❤❤❤❤😮😮😮😮
Amen!
Thank you professor (from india)
I won't stop learning ❤
Thank you so much, I have learnt
Majhe hi ah gaye bro ❤
Thanks from Pakistan ◉‿◉
you are just saving our exam
crazy good video. keep up this work man
My God bless you for sure making understand more
Thank youuu, i hope i can get 100 in my quiz tomorrow
Love this thank you!!!!!
best teacher!
You just answered my assignment question
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...
If you were my math teacher I'd love math
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.
Just wonder how we can apply this to the calculation in ai transformer network ?
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.
Wanted to know the perfect ine got it from this video thank you very much
Thanks from Italy
Thank you sir for this video
Thank you so much sir !!!
Very well explained.
Bedankt
I like this but doesn’t doing column operations like you did technically change the rowspace? You can find the rank without doing that
Thank you sir!!! 👍👍👍
Useful video
does the same thing apply to basis ?
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.
Thank you for the explanation, you have a nice hat :p
Very good .
I'm too high for this
Great ✨
Difference between columns and rows?
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.
Awesome 🎉
Thank you so much
great .thank u so much
sooo fascinating ...
thanks man!!
thanks a lot sir
I dont believe i just found you....
Rank 3! The 4th row pointing the same way as the 2nd row. Well, the opposite way, you know what I mean.
Mr correction shouldn't it be -2+1=-1+0=-1
😁😁
😍thanks
Thank you
Thank u sir