The rank of a matrix

[@laodrofotic7713]

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.

[@piyushbhuva9975]

my man's enthusiasm is contagious.. look how happy he is😄

[@isimsizisim1761]

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

[@John14vs6_]

You are officially Morpheus from The Matrix. Thanks so much for this detailed explanation sir. Much appreciated

[@hard.nurtai4209]

Bruh you do have charisma

[@sylphiann]

By far, this is the clearest explanation of a matrix rank. Thanks!

[@petedrake9968]

Most thorough explanation I've seen by far. Thanks a ton

[@catherinegrimes2308]

I love your enthusiasm for maths.

[@roxanahaures4241]

The first video that I really enjoyed while understanding the idea of the rank. Thank you!

[@ioannaathineos5269]

amazing and inspiring !! Especially what he said at the end "stop learning is stop living!"

[@keshav-banka]

Great explaination!! I was struggling with this topic for some time. Understood after your explanation. Thankyou

[@tsuyusk]

bro thanks you just salved my linear algebra applied to computer science class

[@HushnMusharrat-rt7wd]

You deserve more subscribers, your one video was enough for me to subscribe to your channel, thanks from India

[@TheZeljkociganovic19]

Very nice explanation. I wished I had a such teacher when i was a student.

[@Munk-tt6tz]

Your channel is all I need, thank you!

[@PhilipJoshua-v2z]

Really helpful and precision explanation 🙏

[@MediocreMachining]

Thanks for the positive informative video. Keep it up brother!

[@irbansin]

Love from India

[@richardrobertson1886]

That is some amazing math teaching. I’d have been a much stronger math major in college with you as my teacher.

[@cchriz4292]

finally found a matrix video so clearly explained and so interesting at the same time!

[@AbdulrahmanAhmed-bm1ed]

What a great teacher!🤩

[@KehindeIsrael-id9ij]

Well done man God bless you. I've been searching for your video for a while now

[@spexso1362]

Loved the energy of you Sir, thanks

[@khayalethumakosi6678]

superb energy!!! was smiling throughout the video

[@debjanimukherjee502]

Your presentation is amazing

[@epsilonxyzt]

Thank You, Don´t Stop Teaching!

[@Vinayak4209]

thanks man, you made my doubts only in a matters of minutes

[@wiafesamuel-xi8cl]

Well done Sir, God bless you for your explanation.

[@majamagdalena.]

Love this thank you!!!!!

[@carlmina4287]

Thank you so much sir. This video and your other videos have helped me understand some important linear algebra problems.

[@Kuldeep_chauhan_1212]

I am indian you are good teaching ❤

[@Syntaxxed]

Clear explanation thank you so much! Needed a refresher :)

[@KehindeIsrael-id9ij]

You are truly excellent bro. Keep it up ❤

[@Cooldudeyus1]

At 17:02 how can 2 be a pivot, since it has a 7 in the row directly below it?

[@daicxm_]

Alla razı olsun brother ❤❤❤❤❤❤😮😮😮😮

[@PrimeNewtons]

Amen!

[@malekessamko]

Amazing I've never thought math could to be interesting like that

[@flowersArePretty1]

Thank you Mr. Newton, you are saving me and my grades! 😂

[@twetar2581]

Thank you so much for make me so easy and clearly about this problem.

[@chiketowhatmore]

you helped me a lot from many topics keeping on doing man

[@blackovich]

Thank you for another good lesson in linear algebra. I really understand now.

[@miriamwanjuki101]

Ready for my linear algebra exam.thankyou so much

[@mia1535]

your chalk seems glorious loll why is it so smooth and pigmented

[@DocASA]

Bros rizz is out of this matrix

[@chidiebubenwankwo5543]

Wow, making maths enjoyable. Thanks

[@MyteeT]

love your accent, and your explanation is perfect

[@Leo-ig6yl]

I really like the way you explain this, please come teach in my campus..

[@shereenfathima3831]

Thank you sir... You made it crystal clear.

[@marquiscityyt9208]

Amazing explanation

[@Jon-Sophie]

Majhe hi ah gaye bro ❤

[@TinyefuzaJamil]

Very interesting lesson

[@rachid8983]

thank you professor (from Algeria) 🫡

[@aapje180]

Bedankt

[@GodeChilarz]

Kkk your energy if fire bra. I'm also a teacher. 😂 l've learned something. You hve alot of energy

[@akashmatubber3437]

I won't stop learning ❤

[@InnocentKwenje]

Prime Newtons you are the best💯

[@AinomugishaAllan]

Thank you so much, I have learnt

[@sudipbhunia227]

Thank you professor (from india)

[@TahaAkmese-e1m]

crazy good video. keep up this work man

[@wes9627]

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.

[@ankitt1009]

Thank you so much sir !!!

[@kei918]

If you were my math teacher I'd love math

[@alassaneballo3540]

does the same thing apply to basis ?

[@BMXRaghvendraSingh]

Love from India🇮🇳❤

[@DutchMathematician]

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...

[@ps3301]

Just wonder how we can apply this to the calculation in ai transformer network ?

[@JasonLee-hz6sd]

best teacher!

[@rafiahmed1731]

you are just saving our exam

[@BrianBirungi-v5t]

My God bless you for sure making understand more

[@afzaljami4070]

Thanks from Pakistan ◉⁠‿⁠◉

[@slip3102]

I like this but doesn’t doing column operations like you did technically change the rowspace? You can find the rank without doing that

[@lightfromjupiter]

Thanks from Italy

[@j4l4l673]

Useful video

[@laodrofotic7713]

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.

[@luthfickasucifinasty1485]

Thank youuu, i hope i can get 100 in my quiz tomorrow

[@TIRUPATIPROPERTIESURBAN]

great .thank u so much

[@Ritosonium0233]

Wanted to know the perfect ine got it from this video thank you very much

[@Chekuthan0101]

Thank you sir for this video

[@jawyor-k3t]

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.

[@muhammadroman9413]

Great ✨

[@TimothySinoko]

You just answered my assignment question

[@Brumor]

Very well explained.

[@Moon-D0G]

Thank you so much

[@felipesants8936]

Very good .

[@adefisanadedotun797]

Awesome 🎉

[@MaxwellHalubobya]

sooo fascinating ...

[@Razorxplay]

thanks man!!

[@kipngenopozee]

Difference between columns and rows?

[@LeinOrtex]

Thank you sir!!! 👍👍👍

[@labreynth]

I'm too high for this

[@davidmurphy563]

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.

[@TinyefuzaJamil]

Thank you

[@rahulshendre7089]

thanks a lot sir

[@lyuvnslav1097]

Thank you for the explanation, you have a nice hat :p

[@evolity_]

😍thanks

[@IslombekNematov-f5s]

❤❤❤

[@paparokauli]

I dont believe i just found you....

[@tophat593]

Rank 3! The 4th row pointing the same way as the 2nd row. Well, the opposite way, you know what I mean.

[@priyambadapreeti1621]

Thank u sir

[@farshidtavakoli6107]

Thanks

[@ikememegoakor7791]

you are good

[@AbasMahmud-k7z]

tanks bro