Linear Transformations , Example 1, Part 1 of 2

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  • เผยแพร่เมื่อ 23 ธ.ค. 2024

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  • @patrickjmt
    @patrickjmt  3 หลายเดือนก่อน +24

    Oh my globbins, this video is so old and crusty. The math is good though!

    • @haseeb1440
      @haseeb1440 3 หลายเดือนก่อน

      u backk

  • @OgbedeKamsi
    @OgbedeKamsi ปีที่แล้ว +13

    12 years later, still pure gold. Thank you sir

  • @idiotrun1997
    @idiotrun1997 11 ปีที่แล้ว +157

    Khan Academy for the concept, PatrickJMT for the examples.

    • @gloriouswingsresearch4206
      @gloriouswingsresearch4206 5 ปีที่แล้ว +2

      Are u sure I'm still on Khan's now

    • @user-rf4vc7mt4d
      @user-rf4vc7mt4d 5 ปีที่แล้ว +29

      @@gloriouswingsresearch4206 Bruh this person already graduated and probably has a job now. I don't think he cares anymore

    • @celeryystick
      @celeryystick 5 ปีที่แล้ว +2

      @@user-rf4vc7mt4d lmao

    • @mustafasiddiqui8203
      @mustafasiddiqui8203 4 ปีที่แล้ว

      Maybe he's dead.

    • @dhruvpathi941
      @dhruvpathi941 4 ปีที่แล้ว

      I don't know why I went to your channel, but I'm glad I did.
      you have got some great parodies

  • @fortytwo6257
    @fortytwo6257 8 ปีที่แล้ว +38

    Thank you! The worst part about linear algebra is getting bogged down with vocabulary and definitions, this was clear and concise.

  • @saba8553
    @saba8553 2 ปีที่แล้ว +10

    I found it the best video explaining linear transformation. Although it was uploaded 11 years from now. Thank You.

    • @Odysseus690
      @Odysseus690 7 หลายเดือนก่อน

      Was the best back in those days , he was the GOAT

  • @danamuise4117
    @danamuise4117 10 ปีที่แล้ว +216

    I wish I could access your brain during my exam

    • @strivemwadiwa7205
      @strivemwadiwa7205 5 ปีที่แล้ว

      kkkkkkkkkkkkkkkk

    • @HK-sw3vi
      @HK-sw3vi 4 ปีที่แล้ว +1

      born too early for that kinda bullshit

    • @davidmurphy563
      @davidmurphy563 ปีที่แล้ว

      Nothing like a good snack.

    • @Saza-z6z
      @Saza-z6z 10 หลายเดือนก่อน +2

      That's creepy....and the fact that m replying commenting on ur comment after 9 years is more creepy

    • @kennethmandondo517
      @kennethmandondo517 7 หลายเดือนก่อน

      Kkkķ you are right my friend

  • @CheapAndDirty
    @CheapAndDirty 11 ปีที่แล้ว +6

    I blew off my online differential equations linear algebra class all summer, thanks to you i finished a semester's worth of work in 6 days. well done man

  • @TheRadems
    @TheRadems 5 ปีที่แล้ว +2

    This man is a blessing to society

    • @patrickjmt
      @patrickjmt  5 ปีที่แล้ว

      well, what a nice thing to say

  • @annecorrigan5254
    @annecorrigan5254 9 ปีที่แล้ว +28

    awesome! a million times clearer than how my textbook explains it! thank you!

    • @patrickjmt
      @patrickjmt  9 ปีที่แล้ว +6

      +Anne Corrigan you are very welcome. come back any time!

    • @tts6030
      @tts6030 9 ปีที่แล้ว +12

      +patrickJMT Thank you so much, I breathe a sigh of relief every time I hear your voice.

    • @talentedtenager4023
      @talentedtenager4023 7 ปีที่แล้ว

      mam i frm india ...will u be my friend n facebook..my dream to make foriegn friends

  • @rizzaangelagonzales5282
    @rizzaangelagonzales5282 3 ปีที่แล้ว

    I have report next saturday, and I was worried because I hadn't found tutorial videos or videos that would help me to understand this kind of topic, but fortunately I have found yours and thank God, finally I understand what Linear Transformation all about is.

  • @DasnarkyRemarky
    @DasnarkyRemarky 9 ปีที่แล้ว +10

    Oh god, this was driving me insane until i looked at this. Much appreciated.

  • @boydmwansa8750
    @boydmwansa8750 10 หลายเดือนก่อน

    I was finding difficulties when it comes to linear transformation but thanks I can do this on my own wow just wow!!!

  • @tamzidchowdhury472
    @tamzidchowdhury472 4 ปีที่แล้ว +16

    I'm taking this class with one of the best professors at my university. But somehow, your explanation still makes a lot more sense to me.

    • @zyon2tuff386
      @zyon2tuff386 4 ปีที่แล้ว

      Yeah I’m taking this in 8th grade and my dad keeps yelling at me 🥲

    • @ericcartman1168
      @ericcartman1168 3 ปีที่แล้ว

      I'm taking this with a shity college professor

    • @jadkhalil9263
      @jadkhalil9263 3 ปีที่แล้ว +1

      @@ericcartman1168 you are 9 years old Cartman and go to elementary school

  • @Mrius86
    @Mrius86 6 ปีที่แล้ว +27

    Procrastinating my physics homework by doing math homework and procrastinating my math homework by doing physics homework.

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +2

    @27kaylaaa glad that it all helps : )

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @KillaTequilla83 no problem : )

  • @ipeednurwatr
    @ipeednurwatr 10 ปีที่แล้ว +7

    This is very easy to understand and everything is presented clearly. Simply amazing! Thank you so much!

  • @MoVlogs
    @MoVlogs 9 ปีที่แล้ว +56

    what pen do you use ? it makes me happy :) and my friends are also happy when listening to the pen.. plz reply or ill be sad .. :(

    • @duplitoaejr
      @duplitoaejr 9 ปีที่แล้ว +5

      ***** Its a black sharpie marker pen.

    • @vaga8bnd
      @vaga8bnd 9 ปีที่แล้ว +2

      +Sir_Sniff-A-Lot Is it exactly that one? urun.gittigidiyor.com/ofis-kirtasiye/sharpie-kalem-siyah-184291062
      If it is tell me please i will buy it

    • @duplitoaejr
      @duplitoaejr 9 ปีที่แล้ว +2

      It looks to be the same, just don't use these on a whiteboard since they are permanent markers.

    • @timc2832
      @timc2832 7 ปีที่แล้ว +2

      I'm exposing you

    • @MuhammadTKhan-re6cz
      @MuhammadTKhan-re6cz 7 ปีที่แล้ว +4

      wow you became a famous vlogger now

  • @thomasparris4430
    @thomasparris4430 10 ปีที่แล้ว

    6:40 "...........thrilling stuff......" hahaha at the sarcastic enthusiasm. I know you probably get burnt out sometimes on every little obscure, mundane, mathematical procedure that you must demonstrate patrick! It's understandable. Thanks for doing this stuff!

  • @SincerelyBradley
    @SincerelyBradley 12 ปีที่แล้ว +2

    your Calc videos got me through the course, so glad you added Linear Algebra ones too!

    • @YosephAlem2024
      @YosephAlem2024 2 ปีที่แล้ว

      this man got me through college

    • @SincerelyBradley
      @SincerelyBradley 2 ปีที่แล้ว +4

      @@YosephAlem2024 crazy to see this pop up 10 years later. I ended up graduating, getting a masters and having a fairly successful career. this was one of the important stepping stones that got me there. Thank you!

  • @HamzaAli-h4
    @HamzaAli-h4 ปีที่แล้ว

    The best to understand the linear transformation May God bless you bro

  • @adeldzaferi7519
    @adeldzaferi7519 8 ปีที่แล้ว +3

    Are there any examples in which you calculate the kernel and the range of a linear transformation?

  • @kirsten1996girl
    @kirsten1996girl 7 ปีที่แล้ว +7

    You are my favorite online math help!! However, I noticed you don't have anything on the Kernal and Range of transformation, column spaces, nor the rank-nullity theorem. If it's at all possible for you to make a video about that or just a quick explanation it would be amazing!!

  • @alaahosn7247
    @alaahosn7247 9 ปีที่แล้ว +1

    You're about to save my semester, wish I found these much sooner

  • @santiagogonzalezbenjumea9880
    @santiagogonzalezbenjumea9880 8 ปีที่แล้ว

    I have been looking for this explanation the whole afternoon on spanish(my mother language) and finally I found it on english, thank you!

  • @quiney_7831
    @quiney_7831 6 ปีที่แล้ว

    Hi,
    How would I go about solving this question:
    Consider the transformation T : R3 → R3 that projects vectors onto the line l given by x = [0, 0, 0] + t[1, 0, 1], t ∈ R3
    (a) Find a formula for T ([ x,y,z ]), and prove that T is a linear transformation.
    (b) For A the matrix associated to T, describe (justifying your answers)
    (i) the relationship between row(A) and the line l; and
    (ii) null(A) as either the trivial subspace {0}, a line through the origin, or a plane through the origin.
    Thanks!

  • @follklor9976
    @follklor9976 9 ปีที่แล้ว +1

    thank you man i am study at computer science with lot of confusing things
    and thanks to you every things going to be better

  • @shovonahmed4325
    @shovonahmed4325 11 ปีที่แล้ว

    Still helping 2 years down the lane!! Thanks!!

  • @siamakghandian
    @siamakghandian 12 ปีที่แล้ว

    Hi patrick . how can i find the rest of this video if there is any. Is there any more videos as far as kernels and more linear transformation please. All start making sense to me . thanks to you for your excellent teaching.

  • @gloriouswingsresearch4206
    @gloriouswingsresearch4206 5 ปีที่แล้ว

    patrickJMT What is the application of the linear transformation? What is the application of transformation that are not linear and can linear transformation be useful for non-linear transformation?

  • @sierrasaursrex
    @sierrasaursrex 10 ปีที่แล้ว +9

    You've helped me get through every single one of my calculus classes with full understanding.
    Thank you soooo much!

    • @bobbysteakhouse7022
      @bobbysteakhouse7022 5 ปีที่แล้ว +1

      Sorry to break it to you but I don't think the calculus video you wanted

  • @MrFunkyMushroom123
    @MrFunkyMushroom123 12 ปีที่แล้ว +1

    Hi Patrick,
    Can you use the theorem T(v)=A(v) to show that whether it is linear or not?

  • @Marcos132132
    @Marcos132132 8 ปีที่แล้ว +3

    Thank you so much man.. YOOU HAVE NO IDEA HOW MUCH THIS VIDEO HELPED HONESTLY. God Bless you

  • @BryceSH1992
    @BryceSH1992 10 ปีที่แล้ว +1

    talk about restoring hope when hopeless . i get this now!!!!!

  • @the_eternal_student
    @the_eternal_student 2 หลายเดือนก่อน

    How are the a's and b's making up the u and v related to the x and y in problem a)?

  • @giftneokgoete
    @giftneokgoete 5 ปีที่แล้ว +2

    So if I join it means I can get special assistant when I ask ?

  • @buzzbuzz20xx
    @buzzbuzz20xx หลายเดือนก่อน

    Amazing and clear video

    • @patrickjmt
      @patrickjmt  หลายเดือนก่อน

      Glad you liked it

  • @FaizanZahidNustian
    @FaizanZahidNustian 12 ปีที่แล้ว

    You r awesome, you explain a lot better than others .

  • @berkay6565
    @berkay6565 11 ปีที่แล้ว

    you are really good mannn you have absolutely gorgeous technic.

  • @hrishikeshgautam5
    @hrishikeshgautam5 ปีที่แล้ว

    Thanks you saved me from failing my upcoming exam in 4 hrs

  • @Paula4681
    @Paula4681 12 ปีที่แล้ว

    You, kind sir, are my hero. Your videos have literally saved my lin alg grade.

  • @Eyenn_n
    @Eyenn_n 9 ปีที่แล้ว +18

    Hi Patrick. I've been watching your videos and they are extremely helpful. Thank you so much! ---Would you upload more videos on linear transformations such as rotations or shearing?

  • @jacksonkundy8573
    @jacksonkundy8573 4 ปีที่แล้ว

    Thank you Patric...you've made a bunch of Engineers so far.! simple and clear explanations.

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว +1

      thanks, i appreciate it :)

  • @alankuo2023
    @alankuo2023 ปีที่แล้ว +1

    YES i needed this

  • @rambooo6021
    @rambooo6021 10 ปีที่แล้ว +21

    This video save my life ,, Really appreciate it ,, thanks alot :)

    • @MrSidd12
      @MrSidd12 9 ปีที่แล้ว

      Ramy George *Saved!!

    • @pierrefabela
      @pierrefabela 7 ปีที่แล้ว

      *petty lmao jk!

    • @Guru-UPSC
      @Guru-UPSC 5 ปีที่แล้ว

      haha

  • @tayyab.sheikh
    @tayyab.sheikh ปีที่แล้ว

    Such a clear explanation ❤

  • @skatinho9883
    @skatinho9883 4 ปีที่แล้ว

    Ayy these videos aren't monetized? You da legend bro

  • @santoryu8940
    @santoryu8940 8 ปีที่แล้ว

    do we not distribute the T? like in 7:19, T([asub1, asub2]), will that not be equal to Tasub1, Tasub2?

    • @santoryu8940
      @santoryu8940 8 ปีที่แล้ว

      so T is the transformation given. ive kinda thought of it as a variable. dammmmmmmmmmmm am i rite guys

  • @Shokukumi
    @Shokukumi 11 ปีที่แล้ว

    Very easy to understand and great if someone has no idea what mapping means.
    Question:
    This was a vector transformation. Is a linear algebraic function of
    f(x) = ax
    the equivalent of a transformation/mapping with numbers instead of vectors?

  • @goldfishyzaza5770
    @goldfishyzaza5770 11 ปีที่แล้ว

    Do you have videos or notes on Euclidean geometry and transformation and affine transformation?

  • @IamJacksColon4
    @IamJacksColon4 13 ปีที่แล้ว

    the conditions
    x-y
    x-y
    2x
    are they general or did u just make them up?

  • @AminaAshfaq-jd5zc
    @AminaAshfaq-jd5zc 19 วันที่ผ่านมา

    Thank you so much 😊

  • @k2___2
    @k2___2 ปีที่แล้ว

    thank you, really helping me out

  • @generatorblue
    @generatorblue 7 ปีที่แล้ว

    Hello! Are you familiar with the term " Linear Fractional Transformation?" Could you please refer me to any book or article where the term has been used before or after 2014? Thank you

  • @SweRaider1993
    @SweRaider1993 11 ปีที่แล้ว

    Do you have videos on Eigenvalues and vectors as well? :) Thanks!

  • @ATrekafied
    @ATrekafied 9 ปีที่แล้ว

    Can you please make a video on how to find the transformation matrix?

  • @sarimshehzad9540
    @sarimshehzad9540 4 ปีที่แล้ว

    let L:Rn belong to Rm be a function if T(0Rn) Is not equal 0Rm, then T is a nonlinear transformation
    can you help me in this question

  • @guntashsingh10
    @guntashsingh10 6 ปีที่แล้ว

    if t and k are two linear tramsformation from V(3)R to V(2)R and V(2)R to V(2)R as t(a,b,c,)=(2a,b+c) and k(a,b)=(b,a) then how tK and kt defined ?

  • @shepherdyannis697
    @shepherdyannis697 9 ปีที่แล้ว

    Much clear than textbook

  • @chunkitfan2915
    @chunkitfan2915 4 ปีที่แล้ว

    If A is a 2x2 matrix such that tr(A)=3 and tr(A^2)=5 , SO HOW TO FIND det(A)

  • @stevielou7336
    @stevielou7336 11 ปีที่แล้ว

    Do you have a video for Matrix transformations?

  • @nikhildhoke146
    @nikhildhoke146 8 ปีที่แล้ว +3

    no.1 explanation

  • @Paula4681
    @Paula4681 12 ปีที่แล้ว

    Could you do one about range and kernels, please?

  • @mysmallcap
    @mysmallcap 9 ปีที่แล้ว

    This was more than awesome

  • @muhammadhusnain9183
    @muhammadhusnain9183 7 หลายเดือนก่อน +1

    Somebody watching in 2024?

  • @vincelunceford
    @vincelunceford 11 ปีที่แล้ว

    definitely better than khan academy......thanks so much

  • @ZaidAlmymoni
    @ZaidAlmymoni 9 ปีที่แล้ว

    a1+b1-a2+b2 = a1-b1-a2-b2(the sign defferint - not same +) ?

  • @zPoiison
    @zPoiison 5 ปีที่แล้ว

    Good video, everything is well explained etc.. but don't you think you waste too much paper?

  • @furkantasbasi2789
    @furkantasbasi2789 9 ปีที่แล้ว

    can u cover matrix representations as well
    thanks in advance

  • @Ansar_Abbas
    @Ansar_Abbas 2 ปีที่แล้ว

    Thanks sir its help me for my exam

  • @reality8298
    @reality8298 5 ปีที่แล้ว

    Thank you. This is explained so well.

  • @SorryCrane16
    @SorryCrane16 11 ปีที่แล้ว

    does it really take that long to determine whether its linear or not /:

  • @smithjane7673
    @smithjane7673 6 ปีที่แล้ว

    It’s just so helpful and clear! Thanks a lot!

  • @adithyathejas
    @adithyathejas 6 ปีที่แล้ว

    What does R2 and R3 means

  • @redhotkido
    @redhotkido 12 ปีที่แล้ว

    u do this in pre calc?? wow

  • @WriteRightMathNation
    @WriteRightMathNation 11 ปีที่แล้ว

    Good for your precalc ``teacher''! Eventually, you need to learn to learn on your own anyway, by finding resources (i.e. do RESEARCH).

  • @generic7939
    @generic7939 6 ปีที่แล้ว

    Why's the sound always so low on these vids

  • @ZaidAlmymoni
    @ZaidAlmymoni 9 ปีที่แล้ว

    pleas help, are - and + satisfied?

  • @surajmohan5746
    @surajmohan5746 7 ปีที่แล้ว

    It's give me lots of thing that i don't know.. Thank u sir

  • @laxmanprajapati7101
    @laxmanprajapati7101 7 ปีที่แล้ว

    alright sir
    Please upload video to find linear transformation of given kernel

  • @gautamkevadiya275
    @gautamkevadiya275 10 ปีที่แล้ว

    how can download videos?

  • @wesamothman2123
    @wesamothman2123 10 ปีที่แล้ว

    Thank you very helpful and makes math very easy

  • @ImmortalScrub
    @ImmortalScrub 11 ปีที่แล้ว

    Thank you so much for this video. The textbook I was trying to learn this from showed T(U+V) and just assumed that it was equal to T(U) + T(V) without any explanation. I would have been completely SOL without you.

    • @nellvincervantes6233
      @nellvincervantes6233 3 ปีที่แล้ว

      You can watch prof dave explained. He has a proof/example on T(U+V) = T(U) + T(V).

  • @miradc234
    @miradc234 9 ปีที่แล้ว

    Thank u very much for ur videos... it's really helpful especially ur videos about linear dependent and linearly independent... can i ask u something..? i have problem dealing with these questions... are these linear transformation?
    T(a1,a2) = (1,a2)
    T(a1,a2) = (a1,a1^2)
    Thank u in advance... God bless...:)

  • @davehuggett1159
    @davehuggett1159 9 ปีที่แล้ว

    My hero.

  • @jane_shi
    @jane_shi 4 ปีที่แล้ว

    Really helpful! Thank you!

  • @physicsstudent9701
    @physicsstudent9701 หลายเดือนก่อน

    Thank you from the future
    2011 from 2024 ❤

    • @patrickjmt
      @patrickjmt  22 วันที่ผ่านมา

      and here i am in 2029 watching this....

    • @physicsstudent9701
      @physicsstudent9701 22 วันที่ผ่านมา

      @patrickjmt 😊

  • @AtaTechnicalStudyAta
    @AtaTechnicalStudyAta 6 ปีที่แล้ว

    Simple and easily tutorials here thanks u

  • @samridhibahuguna7451
    @samridhibahuguna7451 5 ปีที่แล้ว

    Nice explanation...

  • @belowaverageasian7197
    @belowaverageasian7197 7 ปีที่แล้ว

    Why does part 1 have more than twice the views as part 2??? Did the majority of people get too lazy and decide not to watch the second example??

  • @CaidenKeller
    @CaidenKeller 4 ปีที่แล้ว

    Helpful. Thank you.

  • @ghazalabaraki
    @ghazalabaraki 5 ปีที่แล้ว

    😎 you are a left hander!!!

  • @ariellalee4749
    @ariellalee4749 10 ปีที่แล้ว

    Very clear, thank you!

  • @piggy8435
    @piggy8435 8 ปีที่แล้ว

    Can we do T(ru + s v) = r T(u) + s T(v)?

  • @eggscellentnakafingo5878
    @eggscellentnakafingo5878 4 ปีที่แล้ว

    Could anyone please help me out with linear transformation? Urgently. I have an assignment

  • @tassimamustafa5759
    @tassimamustafa5759 4 ปีที่แล้ว

    Kinly send me whole topic of linear transformation ....for presentation ....plz

  • @thinkstitute9402
    @thinkstitute9402 6 ปีที่แล้ว

    great teaching...

  • @travolta91
    @travolta91 12 ปีที่แล้ว

    Wow..
    You're great..
    Now I understand what does linear transformation means..
    Thanks a lot,master!!
    :)

  • @okodeldavidlivingstone3321
    @okodeldavidlivingstone3321 7 ปีที่แล้ว

    Thanks, it is so interesting

  • @ElifArslan-l9g
    @ElifArslan-l9g 2 ปีที่แล้ว

    thank you