Basis and dimension

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  • Опубліковано 13 гру 2024

КОМЕНТАРІ • 102

  • @nickoliveira5938
    @nickoliveira5938 3 роки тому +87

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

  • @Marawan
    @Marawan 3 роки тому +21

    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!

  • @EfeAikpokhio
    @EfeAikpokhio 2 роки тому +5

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

  • @woodwardscreditcard7482
    @woodwardscreditcard7482 2 роки тому +6

    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
      @drpeyam  2 роки тому

      Thank you!

    • @j.j.3759
      @j.j.3759 2 роки тому +3

      I see you've met my professors.

  • @tevintitus
    @tevintitus 21 день тому +1

    The best 6mins, is it possible to make few more of these truly helpful.

    • @drpeyam
      @drpeyam  21 день тому

      There’s a whole playlist!

  • @lightspd714
    @lightspd714 Рік тому +2

    You always give the best explanations!

  • @CypherSteve
    @CypherSteve Рік тому +1

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

  • @olabayoenoch4414
    @olabayoenoch4414 3 роки тому +5

    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!

  • @Skystrike70
    @Skystrike70 3 роки тому +4

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

  • @Spacexioms
    @Spacexioms 2 роки тому

    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.

  • @Linn201
    @Linn201 11 місяців тому

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

  • @thespicegirlsful
    @thespicegirlsful Рік тому

    Best explanation got it immediately, thank you Dr Peyam!

  • @3bananasforaeuro152
    @3bananasforaeuro152 3 роки тому +1

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

    • @drpeyam
      @drpeyam  3 роки тому

      My pleasure 😁

  • @willyh.r.1216
    @willyh.r.1216 Рік тому

    Quick and good refresher. Thx

  • @plopterjones2147
    @plopterjones2147 Рік тому

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

  • @joycemoreira6221
    @joycemoreira6221 7 місяців тому

    Thank you!! You helped me a lot

  • @mamadetaslimtorabally7363
    @mamadetaslimtorabally7363 Рік тому

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

  • @volly4260
    @volly4260 2 роки тому

    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
      @drpeyam  2 роки тому +1

      Thanks so much!!!

  • @ShivShankar000
    @ShivShankar000 2 роки тому

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

  • @antoniobrites5431
    @antoniobrites5431 2 роки тому +2

    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
      @drpeyam  2 роки тому +2

      Because row reduction destroys span but preserves LI

  • @krishnaarjun6834
    @krishnaarjun6834 2 роки тому +1

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

  • @danadallal6314
    @danadallal6314 4 роки тому

    i love this guy's energy

  • @doodelay
    @doodelay 2 роки тому

    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!

  • @bygrace6578
    @bygrace6578 3 роки тому

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

  • @drtechnoxy8495
    @drtechnoxy8495 2 місяці тому

    Thank you so much sir 🎉 keep rocking 😊

  • @elwoodevans9922
    @elwoodevans9922 Місяць тому

    Thank you for the lesson!

    • @drpeyam
      @drpeyam  Місяць тому

      My pleasure!

  • @savitpandita1993
    @savitpandita1993 8 місяців тому

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

  • @rishipatel2670
    @rishipatel2670 2 роки тому

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

  • @UNCLESAM-TV
    @UNCLESAM-TV 7 місяців тому

    Thank you very much for helping me Sir

  • @pinkkitty6553
    @pinkkitty6553 7 місяців тому +1

    thank you sir

  • @gopalsutrave
    @gopalsutrave 4 роки тому +1

    nice explanation sir... very good

  • @RaidenEdits
    @RaidenEdits 2 роки тому

    Thank you very much for the explanation!!

  • @andresbarmet1227
    @andresbarmet1227 3 роки тому

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

  • @faizanurrehman6220
    @faizanurrehman6220 5 років тому +6

    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

  • @ЕгорШевяков-з8м
    @ЕгорШевяков-з8м 3 роки тому

    so touching for an excellent video

  • @typo691
    @typo691 5 років тому +11

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

  • @BlijVrouw
    @BlijVrouw 3 роки тому

    Thank you, Dr Peyam!

  • @ADS090
    @ADS090 2 роки тому

    Thank you so much!

  • @coldplayofdoom8908
    @coldplayofdoom8908 3 роки тому

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

  • @blackspygamer8500
    @blackspygamer8500 5 днів тому +1

    R should be roll anna maata kinda padi dorlali😂😂

  • @kamakkaka
    @kamakkaka 8 місяців тому +1

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

  • @lifeisgood.4576
    @lifeisgood.4576 2 роки тому

    This is amazing. Thank you so much!

  • @jojo_099-4
    @jojo_099-4 8 днів тому

    wait so now, i don't have to go through checking on the linearly independence and the spans? i mean our prof said that we have to check if the matrix is L.I and it spans the V. so should i just skip these two steps and find the basis of column space and that's it? would it be considered correct answer?
    +thanks for the video by the way!!

  • @akashsonawane3310
    @akashsonawane3310 5 років тому +1

    Nice explanation...... Sir🙏🙏🙏

  • @anshsingh2783
    @anshsingh2783 2 роки тому

    Your lectures are 👍 good

  • @dvdz1180
    @dvdz1180 Рік тому

    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.

  • @asn9329
    @asn9329 3 роки тому +1

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

  • @MuhammadMuneer-rh1by
    @MuhammadMuneer-rh1by 7 місяців тому

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

  • @abtinjaberi2927
    @abtinjaberi2927 4 роки тому

    very nice explanation

  • @ousmanfitness8132
    @ousmanfitness8132 Рік тому

    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?

  • @bongamthokozisi2755
    @bongamthokozisi2755 2 роки тому

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

  • @manasipandey9617
    @manasipandey9617 2 роки тому

    Thanks a lot sir.

  • @silversky216
    @silversky216 4 роки тому

    i wish i could have a professor this sweet

  • @latifahussaini9832
    @latifahussaini9832 2 роки тому

    U r awesome👏

  • @stefanfarier5693
    @stefanfarier5693 2 роки тому

    Pelucid. Thank you!

  • @sanghyeonchang2600
    @sanghyeonchang2600 Рік тому

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

  • @glenncouto
    @glenncouto Місяць тому

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

    • @drpeyam
      @drpeyam  Місяць тому

      I made one on intersection and union of vector spaces

    • @glenncouto
      @glenncouto Місяць тому

      @drpeyam Can you share which video it is ?

    • @drpeyam
      @drpeyam  Місяць тому

      I think it’s called union of vector spaces

    • @glenncouto
      @glenncouto Місяць тому

      @@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.

  • @biryazlmhikayesi5781
    @biryazlmhikayesi5781 2 роки тому

    Magnificiant

  • @ezgierturk6268
    @ezgierturk6268 5 років тому +3

    Sir, what is your secret of happiness?

  • @olasunkanmiadeniji8838
    @olasunkanmiadeniji8838 5 років тому +1

    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 !

  • @AidenHunter-x3v
    @AidenHunter-x3v 26 днів тому

    What a W video

  • @rockyjoe3817
    @rockyjoe3817 5 років тому

    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
      @Skystrike70 3 роки тому

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

  • @molepistol
    @molepistol Рік тому +2

    dr, you are cute😭😭

  • @ahmadebrahem1408
    @ahmadebrahem1408 3 роки тому

    thank u man

  • @msparis5404
    @msparis5404 5 років тому

    you rock!!

  • @ElifArslan-l9g
    @ElifArslan-l9g 2 роки тому

    thank uu:)

  • @Goku17yen
    @Goku17yen 5 років тому +1

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

    • @drpeyam
      @drpeyam  5 років тому +1

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

  • @israrbaloch1349
    @israrbaloch1349 2 роки тому

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

  • @shafeeahmed8167
    @shafeeahmed8167 Рік тому

    I came here only for you thimble
    sir

  • @anshsingh2783
    @anshsingh2783 2 роки тому

    Hlo sir...🙏iam from india

  • @ishihayahajimagumpara9266
    @ishihayahajimagumpara9266 3 роки тому

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

  • @lakshanchamod1208
    @lakshanchamod1208 9 місяців тому

  • @kaanylmaz1008
    @kaanylmaz1008 3 роки тому

    eyw

  • @anshsingh2783
    @anshsingh2783 2 роки тому

    Please sir..give me reply.

  • @alideljo8099
    @alideljo8099 4 роки тому

    divana

  • @Mr_White2027
    @Mr_White2027 4 роки тому

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

  • @rafalniepsuj1061
    @rafalniepsuj1061 2 роки тому

    くさんありますありがとうございます」、