Linear Algebra: Gram-Schmidt

[@tameyofujoshi]

You came here to study not to read comments, go back!!

[@B.R.L.]

I needed to see this

[@tameyofujoshi]

@@B.R.L. lmao it's been three years

[@B.R.L.]

@@tameyofujoshi lol and your comment still helps people like me too this day 😭. Thank you

[@hachimanbdo]

better than all videos i watched about gram schmidt

[@zachfigart6307]

That….is about the best teaching I’ve ever seen in math. Everything about this example was beautiful. The pacing, explanation, cohesiveness…if the world had more people to explain concepts like this we’d be a far more developed species.

[@rubenscharff511]

preach!

[@xoppa09]

so logical

[@huseynqasmov9987]

watching this 3 hours before my linear algebra exam. perfect! right to the point. thanks a lot!

[@fridmehdiyev7728]

did u pass ? :d

[@ritwiksaraf4220]

Watching this an hour before mine 7y later. God help us all🫠

[@Jus_me_Sween]

This just saved my life was completely lost in class but now I understand! Thanks so much

[@ItsPouring]

After viewing several videos, reading it in my textbook and trying over and over again... your simple explanation filled in the gaps in my understanding merely 5 min and 14 sec into the video - what a *¡RELIEF!* I wanted to bang my head into a brick wall. So, *_THANK YOU_* you for recording the explanation, *_THANK YOU_* for uploading the video and *_THANK YOU_* for leaving it up!! Really appreciated! 👍👏🤝👊🤓

[@blondie6222]

I hope the best for this man, such a fantastic teacher

[@AlwaysAtractiv]

thank you for saving my linear algebra this semester

[@Jason136JL]

thank you for helping me pass my math class! amazing

[@patrickmayer9218]

You guys explain linear algebra better than the big names like Khan Academy imo. Thanks so much for the video!

[@besanimusic2268]

You are great, thank you for this description! Helped a lot!

[@anoniem012]

Thank you! May Allah guide you with the best gift ever!

[@DrBlighty]

Excellent presentation!

[@cocoa2068]

Hi, thank you so muchhhh really helpful tho, in the textbook is so difficult to understand and you explain it clearly

[@sanamsanamrani6206]

I am Pakistani sir very good method of explaination

[@brandoncazares8452]

Thanks you just helped me prepare for my final.

[@Abby-ly3ob]

I really needed this. Thank you

[@xPaulienxx]

The inproduct of v1 and v2 is already 0, cant you just leave it out? (2x-2 + 2x1+ 2x1 = -4 + 2 + 2 = 0), so you only have to translate v3? that is what was taught to us in school. I dont know if this is right that is why I am asking

[@xoppa09]

It helps to write little notes in a notebook to follow along. .

[@chrischatergoon3207]

THANK YOU SO MUCH FOR THIS.

[@SeyedAgent47]

best method is to solve a problem b4 anything else... tnx👌

[@zuggrr]

Thank you so much! best video on the subject

[@saladprayer8239]

Can you sing like George Ezra?

[@Jacob-kc9ct]

very good question

[@mthokozisindlovu873]

you the best man..thanks alot

[@amjadghr2835]

i would like to ask you some questions my doctor give us e that U1=V1 and U2 = V2 - (V2.U1/U1.U1) .U1 is it the same or what ? and thanks in advance

[@cctang4922]

The U1 that your doctor used was not a normalized vector. Therefore, when computing U2 the form would be different from that in the video. The expression of U3 in your lecture would probably be V3-((U1.V3)/(U1. U1))U1 -((U2.V3)/(U2.U2))U2. After normalizing U1,U2 and U3, the answer would be as same as the one in the video.

[@prachikumar2246]

thanks, i was on a verge of having a breakdown before this

[@irenepat.2970]

great work thank you

[@getsomedi]

thank you, thank you, thank you

[@vannely7000]

Thank you so much!! It was worth to watch it :)

[@LAnonHubbard]

Nice, thanks.

[@centerofmath]

Glad we could help! Check out centerofmath.org for more video tutorials and lectures!

[@marcoantoniolaricocruz9471]

muy buen video me gusto mucho! gracias

[@ElifArslan-l9g]

thank you

[@meysamjavadzadeh]

nice job

[@nyinaing6171]

Thank you so much guy!

[@razanaqvi8890]

You are Genius

[@epsilonxyzt]

No color on your chalk, what you write on the board not visible correctly, talk the important word slowly and clearly and emphasize on it, don´t think you covered, think your listener received it correctly or just head it.

[@snehithreddychalla1310]

very neat ! thanks

[@jack-jt2lm]

great ,thanks

[@jib9058]

really appreciate thank you so much

[@許潤璋]

Thank you.

[@alexanderedo777]

thanks bro... u save me.

[@takhminam6068]

Thank you it was useful

[@annabelleellis8098]

Why did you use the transpose of v2 when finding u2?

[@anishakoirala5739]

I was wondering the same. Somebody please help out..

[@jamstring349]

sick bro thanks

[@VALAKINPELUMI-xo7gf]

You are obstructing what you are writing

[@hauntedbyrobots]

thanks king

[@tmain1320]

THANKS SOO MUCH

[@AhmadHasan-ou5lv]

isn't the order of that matrix multiplication wrong??

[@DarknessIsThePath]

Ahmad Hasan where?

[@schnekec]

It is wrong

[@MasayoMusic]

@@schnekec Which part?

[@danielwattson6916]

Thanks!!

[@sabamaster7561]

Perfect video! Pls replace my teacher!!!!!

[@mariefurie9241]

amazing!!!!

[@AA-le9ls]

Strange video. You don't need to use Gram-Schmidt or do any calculations at all to find an orthonormal basis for Span (v1, v2, v3), which is in fact R3. Just take the standard basis for that vector space, i.e. ((1,0,0), (0,1,0), (0,0,1)).

[@mertcelik5870]

thx mate ^.^

[@andreslobmeyer1733]

exelent men

[@mupetman1214]

him having glasses at the end threw me off.. but great video!

[@TonyTorzido]

thx G

[@annalam8624]

he is so cute :D

[@B.R.L.]

I have an exam in 20 mins. Wish me luck please

[@ipeksen3721]

I think, wrong formula because we learn u2=v2-((v2|u1)) /((u1|u1)) u1.

[@SeriStrike]

Thank you so much. I'm from Israel! I would like to know if you have example for orthagonal

[@AnandNC]

just wow

[@Jostan748]

"the length of v is 2^2+2^2+1. So that's 9. Then the square root of that is 3." This was the one step that every other video like this skips or doesn't explain very well. Still, would have been nice to throw that important bit on the board maybe.

[@landwarrior348]

Mathematicians create something out of nothing.

[@jeromepouangamkameni2235]

thanks. but in your next video , note tht others should be seeing what you are are doing. you are not transparent

[@akueijohnsonateny]

Very poor video coverage and explanation. Mind how you position yourself when on the blackboard because you're not teaching yourself

[@fantasdeck]

Covering the blackboard while he writes, just mumbling through the computations, mentally skipping steps with no vocalization...

[@VALAKINPELUMI-xo7gf]

You are obstructing what you are writing

[@catherincatherin5315]

thank you