Basis and dimension

[@nickoliveira5938]

Wow ive sat through 6 hours of lectures for something you took 6 minutes to help me understand. Thank you!

[@a-factoracademy]

Not only you brother... Thanks and thank you KZbin!

[@aperson6966]

Cap but ok

[@Marawan]

It took me 8 hours of browsing through books and videos to try to understand this chapter, but you explained it in 6 minutes and I understood it immediately! Thanks so much Dr Peyam, keep it up!

[@nakhoronammekhu6104]

Same

[@woodwardscreditcard7482]

This is excellent for someone that just want to start working on problems without all the fatuige that comes with the ins and outs that text books and many lecturers bombard you with. I enjoy math but damn some people just want to make it harder than it has to be which is annoying. Thank you for this demo!

[@drpeyam]

Thank you!

[@j.j.3759]

I see you've met my professors.

[@EfeAikpokhio]

This guy is amazing his videos are quick and direct. Thank you so much, sir. I wish you nothing but the best in life.

[@olabayoenoch4414]

Awesooooooooommmnme... I had my initial doubts but you cleared all of them. Your attitude also makes it look very simple and believe me, it helped prepare my mind to understand. God bless you, Amen!

[@CypherSteve]

His explanation is so great, thank you so much, Dr Peyam

[@Spacexioms]

Finally understand what a basis is. A basis can be spanned to form a linear combination. Find the basis can help us find the the vectors which can be spanned into other vectors and this helps us get rid of information that is not needed with the original matrix A. Also, help find the dimension.

[@Skystrike70]

Subbed for how fast you are able to effectively get the point across, this is my second video of yours I've watched!

[@lightspd714]

You always give the best explanations!

[@3bananasforaeuro152]

Thank you for saving me 6 hours before final a crown here for you my king 👑

[@drpeyam]

My pleasure 😁

[@Linn201]

Oh!! Thank you so much. Much obliged for your help ❤

[@plopterjones2147]

Lol, I had him at TAMU and his video just showed up while looking for linear algebra stuff. Miss you Dr. Peyam!!!

[@drpeyam]

So cooool!!!

[@antoniobrites5431]

Thank you so much for your class. I just didn't understand why we went back to the original matrix to pick the two vectors for the basis, instead of just using the ones we came up with in row reduction. (1,0,0) and (-3,1,0)

[@drpeyam]

Because row reduction destroys span but preserves LI

[@faizanurrehman6220]

Seriously i hate to Analyze about bases and its relationship with dim. But in this video i can easily understand about it, thanks allot please make more videos on bases and related things

[@thespicegirlsful]

Best explanation got it immediately, thank you Dr Peyam!

[@krishnaarjun6834]

Amazing, short, very useful, full-energy-packed session 👏 👍

[@volly4260]

Honestly most of the comments are about how this helped a lot of people and it is very briefly and well explained, well , i will add one more to those type of comments :D ty so much professor.

[@drpeyam]

Thanks so much!!!

[@rishipatel2670]

Thank you Dr. Peyam, I have a final coming up this Thursday and this video cleared up so much confusion!

[@mamadetaslimtorabally7363]

What a fantastic explanation! Really helpful Dr Peyam. Thanks so much.

[@doodelay]

For a long time I found row reduction a colossal pain and a waste of time. But now I see that reducing a matrix gives you a GIANT amount of information all at once. So it's very much worth the time investment!

[@pinkkitty6553]

thank you sir

[@savitpandita1993]

Respect to you Sir thanks a lot sir . Love From INDIA

[@elwoodevans9922]

Thank you for the lesson!

[@drpeyam]

My pleasure!

[@willyh.r.1216]

Quick and good refresher. Thx

[@ShivShankar000]

just amazing. I understood how to find basis and dimension.

[@kamakkaka]

sir even teaching at 0.5X speed ..thank you this help alot

[@danadallal6314]

i love this guy's energy

[@joycemoreira6221]

Thank you!! You helped me a lot

[@dvdz1180]

thank you doctor for this masterpiece I really just wonder what the diff between is make the set in the column and the row space and thank you again for this masterpiece.

[@typo691]

The thumbnail quote is wrong, should be "I'm all about that basis"

[@drtechnoxy8495]

Thank you so much sir 🎉 keep rocking 😊

[@BlijVrouw]

Thank you, Dr Peyam!

[@UNCLESAM-TV]

Thank you very much for helping me Sir

[@andresbarmet1227]

You are really awesome and a very cool teacher 🙏🏾🙏🏾

[@bygrace6578]

Wooow!!! I love it and I will recommend it to my colleagues.

[@ADS090]

Thank you so much!

[@ЕгорШевяков-з8м]

so touching for an excellent video

[@coldplayofdoom8908]

You‘re actually nuts, how have I not found you earlier

[@RaidenEdits]

Thank you very much for the explanation!!

[@gopalsutrave]

nice explanation sir... very good

[@lifeisgood.4576]

This is amazing. Thank you so much!

[@silversky216]

i wish i could have a professor this sweet

[@asn9329]

Why I Can't write [1 -3 -4 ] and [0 1 3] as basis of this subspace?

[@MuhammadMuneer-rh1by]

when should we use ref vs rref when finding basis / lin independence / wether it spans or not

[@anshsingh2783]

Your lectures are 👍 good

[@ousmanfitness8132]

would you please be able to explain to me why it matters if I make a matrix with each vector as a colour vs each vector as a row?

[@shafeeahmed8167]

I came here only for you thimble sir

[@manasipandey9617]

Thanks a lot sir.

[@bongamthokozisi2755]

wow interesting thank you sir can you please do for the complex numbers basis and dimension

[@drpeyam]

Check out matrix of rotation

[@bongamthokozisi2755]

@@drpeyam thanks alot sir

[@akashsonawane3310]

Nice explanation...... Sir🙏🙏🙏

[@olasunkanmiadeniji8838]

Sir, can you please tell me the answer of the question below: Let V be the vector space of all {2,4} matrices i) Determine the dimension of V ii) Determine the basis of V Thanks as you answer !

[@ijazkhanniazi800]

I want to ask Same questions

[@krishnaarjun6834]

Wdym by {2,4} matrices?

[@molepistol]

dr, you are cute😭😭

[@sanghyeonchang2600]

So is the Rank of matrix and Dimension of matrix same ?

[@abtinjaberi2927]

very nice explanation

[@glenncouto]

Can you make a video on intersection and union of column spaces ?

[@drpeyam]

I made one on intersection and union of vector spaces

[@glenncouto]

@drpeyam Can you share which video it is ?

[@drpeyam]

I think it’s called union of vector spaces

[@glenncouto]

@@drpeyam Let 𝐴 = [ 1 2 1 3 ] and 𝐵 = [ 1 0 2 1 ]. Find a basis for the subspace 𝐶𝑜𝑙(𝐴) ⋂ 𝐶𝑜𝑙(𝐵) and hence determine its dimension. This is my question. Not sure how to go about it. I know to find the colum space individually for each vector.

[@stefanfarier5693]

Pelucid. Thank you!

[@latifahussaini9832]

U r awesome👏

[@ezgierturk6268]

Sir, what is your secret of happiness?

[@drpeyam]

Math :)

[@biryazlmhikayesi5781]

Magnificiant

[@ahmadebrahem1408]

thank u man

[@israrbaloch1349]

Great explanation.Just wanted to know if you are persian?

[@drpeyam]

Yes

[@ishihayahajimagumpara9266]

I know im dumb but dont me mad sir, i’m tryiiiingggggggg 😭😭😭

[@ElifArslan-l9g]

thank uu:)

[@rockyjoe3817]

Hmmm I saw Gaussian Elimination and Echelon form and Reduced Echelon form but when doing linear systems in matrix form why do we sometime put or not put 0's filling the columns at the last row?

[@Skystrike70]

Google REF vs RREF. It's 2 different forms, and RREF is the one with zeroes and has more uses than plain REF.

[@anshsingh2783]

Hlo sir...🙏iam from india

[@msparis5404]

you rock!!

[@Goku17yen]

y r some comments from a wweek ago lmao. Also do u know jpanese

[@drpeyam]

Hahaha, it’s always been there, I just “officially” released it today! And sadly I don’t, but I know Arigato Gojaimas!

[@lakshanchamod1208]

[@anshsingh2783]

Please sir..give me reply.

[@kaanylmaz1008]

eyw

[@alideljo8099]

divana

[@Mr_White2027]

خرب حظي مو فاهم شي ..انا عربي يلا يلا افهم شنو هاية

[@rafalniepsuj1061]

くさんありますありがとうございます」、