Linear Transformations , Example 1, Part 1 of 2
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- Опубликовано: 11 сен 2011
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Linear Transformations , Example 1, Part 1 of 2. In this video, I introduce the idea of a linear transformation of vectors from one space to another. I then proceed to show an example of whether or not a particular transformation is linear or not.
![How to Know if a Transformation is Linear: Transformations (4/4) [Passing Linear Algebra]](/img/1.gif)
12 years later, still pure gold. Thank you sir
Khan Academy for the concept, PatrickJMT for the examples.
Are u sure I'm still on Khan's now
@@gloriouswingsresearch4206 Bruh this person already graduated and probably has a job now. I don't think he cares anymore
@@user-rf4vc7mt4d lmao
Maybe he's dead.
I don't know why I went to your channel, but I'm glad I did.
you have got some great parodies
Thank you! The worst part about linear algebra is getting bogged down with vocabulary and definitions, this was clear and concise.
Linear transformations will make your questions add more questions than answers.
Exactly.
I wish I could access your brain during my exam
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born too early for that kinda bullshit
Nothing like a good snack.
That's creepy....and the fact that m replying commenting on ur comment after 9 years is more creepy
Kkkķ you are right my friend
I found it the best video explaining linear transformation. Although it was uploaded 11 years from now. Thank You.
Was the best back in those days , he was the GOAT
awesome! a million times clearer than how my textbook explains it! thank you!
+Anne Corrigan you are very welcome. come back any time!
+patrickJMT Thank you so much, I breathe a sigh of relief every time I hear your voice.
mam i frm india ...will u be my friend n facebook..my dream to make foriegn friends
This is very easy to understand and everything is presented clearly. Simply amazing! Thank you so much!
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.
Yeah I’m taking this in 8th grade and my dad keeps yelling at me 🥲
I'm taking this with a shity college professor
@@ericcartman1168 you are 9 years old Cartman and go to elementary school
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.
Oh god, this was driving me insane until i looked at this. Much appreciated.
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!!
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
You were ahead of the game bro!
Thank you so much man.. YOOU HAVE NO IDEA HOW MUCH THIS VIDEO HELPED HONESTLY. God Bless you
You've helped me get through every single one of my calculus classes with full understanding.
Thank you soooo much!
Sorry to break it to you but I don't think the calculus video you wanted
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?
I have been looking for this explanation the whole afternoon on spanish(my mother language) and finally I found it on english, thank you!
I was finding difficulties when it comes to linear transformation but thanks I can do this on my own wow just wow!!!
@27kaylaaa glad that it all helps : )
This man is a blessing to society
well, what a nice thing to say
You're about to save my semester, wish I found these much sooner
thank you man i am study at computer science with lot of confusing things
and thanks to you every things going to be better
It’s just so helpful and clear! Thanks a lot!
This video save my life ,, Really appreciate it ,, thanks alot :)
Ramy George *Saved!!
*petty lmao jk!
haha
talk about restoring hope when hopeless . i get this now!!!!!
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 .. :(
***** Its a black sharpie marker pen.
+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
It looks to be the same, just don't use these on a whiteboard since they are permanent markers.
I'm exposing you
wow you became a famous vlogger now
your Calc videos got me through the course, so glad you added Linear Algebra ones too!
this man got me through college
@@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!
Are there any examples in which you calculate the kernel and the range of a linear transformation?
Thank you. This is explained so well.
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!
@KillaTequilla83 no problem : )
Thank you Patric...you've made a bunch of Engineers so far.! simple and clear explanations.
thanks, i appreciate it :)
YES i needed this
you are really good mannn you have absolutely gorgeous technic.
You r awesome, you explain a lot better than others .
The best to understand the linear transformation May God bless you bro
thank you, really helping me out
Procrastinating my physics homework by doing math homework and procrastinating my math homework by doing physics homework.
Very clear, thank you!
Still helping 2 years down the lane!! Thanks!!
10**
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?
This was more than awesome
thank you sooooo much! loveyah for this :D
Really helpful! Thank you!
Thanks you saved me from failing my upcoming exam in 4 hrs
Thank you very helpful and makes math very easy
Ayy these videos aren't monetized? You da legend bro
Such a clear explanation ❤
So if I join it means I can get special assistant when I ask ?
no.1 explanation
It's give me lots of thing that i don't know.. Thank u sir
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!
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
Helpful. Thank you.
Thank you so so so so much!
thank you so much.. appreciate it.
Hi Patrick,
Can you use the theorem T(v)=A(v) to show that whether it is linear or not?
Thanks, it is so interesting
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?
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...:)
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.
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 ?
My hero.
Do you have videos or notes on Euclidean geometry and transformation and affine transformation?
Thanks dude!!!!
thank you so much!
Simple and easily tutorials here thanks u
Thanks !
thank you
Do you have videos on Eigenvalues and vectors as well? :) Thanks!
Thanks man!
thank u so much
Nice explanation...
Can you please make a video on how to find the transformation matrix?
You, kind sir, are my hero. Your videos have literally saved my lin alg grade.
If A is a 2x2 matrix such that tr(A)=3 and tr(A^2)=5 , SO HOW TO FIND det(A)
Thanks sir its help me for my exam
Do you have a video for Matrix transformations?
you are AWESOME :D thanks alot
can u cover matrix representations as well
thanks in advance
great teaching...
Thanks veryyyyyyyyy much..
ربنا يكرمك :)
Thanks
pleas help, are - and + satisfied?
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
Much clear than textbook
do we not distribute the T? like in 7:19, T([asub1, asub2]), will that not be equal to Tasub1, Tasub2?
so T is the transformation given. ive kinda thought of it as a variable. dammmmmmmmmmmm am i rite guys
the conditions
x-y
x-y
2x
are they general or did u just make them up?
a1+b1-a2+b2 = a1-b1-a2-b2(the sign defferint - not same +) ?
I fall in love with you Patrick, you are so fucking damn bloody amazing!
Could you do one about range and kernels, please?
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.
You can watch prof dave explained. He has a proof/example on T(U+V) = T(U) + T(V).
What does R2 and R3 means
Good video, everything is well explained etc.. but don't you think you waste too much paper?
thanx a lot patrick.....btw, you have a sweet voice :)
does it really take that long to determine whether its linear or not /:
alright sir
Please upload video to find linear transformation of given kernel
how can download videos?
Why's the sound always so low on these vids
Good for your precalc ``teacher''! Eventually, you need to learn to learn on your own anyway, by finding resources (i.e. do RESEARCH).
😎 you are a left hander!!!