Linear Transformations , Example 1, Part 2 of 2

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Linear Transformations , Example 1, Part 2 of 2. In this video, I introduce the idea of a linear transformation of vectors from one space to another. I then proceed to finish an example of whether or not a particular transformation is linear or not.

[@Akashpagol]

Why are books so complicated and youtube videos so simple and clear? Thanks!

[@randomdude9135]

Cuz Books are written by authors who write them in a very very formal advanced manner

[@kiyanahmadian498]

Books' main objective is not to teach necessarily, but to elaborate and document a certain set of findings so that they can be replicated by future generations. They also constitute an important form of references, again for future people. TH-cam videos however, aim at helping us do well on our exams haha

[@haleygoodebiddle3692]

In 2018, these videos are still easier to understand than any college professor.

[@jmzh1509]

2019 +1

[@pawanpiumal]

2020

[@rashidibrahim979]

2021. it's ten years since the video is made

[@m.mahmoud0710]

@@rashidibrahim979
انت حقيقي يسطا!

[@xrxnpop1222]

Add 2022

[@omerahmaad]

I was really confused about linear transformation but this video was simple and easy to understand. Thank you very much

[@robertmorris9696]

You have no idea what a life saver you are - You're the only reason I'm understanding my linear class

[@BlazeMrdr]

Thank you so much, there were no actual examples in my textbook! Just the formulas and working with general concepts. You`re a life saver in all my classes, keep up the good work!

[@patrickjmt]

my pleasure :)

[@zakeyaalsadeh7421]

Patrick I wish you could post more videos about finding the range and null spaces of linear transformation of polynomials and not only vectors
Thank you, your channel in the best on utube!

[@jjoben8491]

If you find the time, could you do a video on Kernels, Range, Rank, and Nullity? I feel like they're so simple in concept yet I'm so lost.

[@thegeh4236]

would appreciate it as well

[@MoveMotivateInspire]

PLEASEE PATRICK

[@AdityaBhavsar]

Yes! it will be a great help for us.

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we still begging you patrick

[@ExtraAccount412]

Thanks for this video! And yes, there are still some countries where we study linear transformation in college-level algebra, not in high school 😒😒.

[@thegeh4236]

Patrick, you are a legend my man. Thank you from the bottom of my heart!

[@nickthewinner2194]

Done with all the linear algebra playlist! Thank you & prosper! Love the self-discipline!

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after 11 years, this helped me!!! thanks a lot !!!❣

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Did you buy Him that beer?

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This is now 2024 and the video remains powerful, I have enjoyed thanks

[@josealejandroconstantinola7980]

Thank you so much for this video. I was stocked on this topic even in Span, and L.I. during my college days.

[@patrickjmt]

good luck! :)

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PATRICK JMT YOU ARE A LIFE SAVER AND SOLELY REPONSIBLE FOR MY A- SECOND TRIMESTER. Thanks and please keep doing what you are doing :) Next year I am taking Introduction to Calculus so I will be a regular watcher of your vidoes. I LOVE YOU MARRY ME.

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honestly, you have the best explanation ever.

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[@ushajoy5931]

Very simple to understand. Thank you so much sir.

[@hou950]

it took me about 4 tries but I finally got it! thank you

[@QGF1]

you're the bomb, thanks so much you've helped me more than my professors have

[@julianschannel8490]

Great job explaining! Thank you so much!

[@taikoktsui_sithlord]

Top Lad! Your videos are better than the BS coming out of my prof's mouth in class, bugger's got a Ph.D, but you are lightyears ahead.
Cheers!

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Patrick you are a star!

[@brisingrsword01]

I saw your post in the top comments section about nothing on kernels. Thanks anyway! Love this channel =]

[@AbhishekSingh-bb7ef]

Sir your teaching skills are so good

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exam day after tomorrow and you have tought me well 😀 thank you very much.

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Pass hue tha ky nahi? Kitne me ho Abhi.

[@MrKhalid.]

So , how was your exam my exam is tomorrow btw

[@aselianthonytuicolo7784]

Thanks Patrick you never disappoint

[@monir2006]

You have explained very well. Thank you so much.

[@vincentateka4448]

This video helped me so much. Thank you!

[@patrickjmt]

@Waranle doing quite well, thanks. : ) i hope you are doing well yourself!!

[@FarhatGamer16]

Thank you for everything~!!!!

[@rondavis236]

how are you bro, i have been watching your videos in 2022 and now for second semester in engineering . You made me pass my first semester maths exam . ANd now you are helping me too . Pls reply as i want to see whther you are doing well or not

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Preparing for an exam that I'll have in 4 hours...

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Me too man, me too

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@@pakiking1993 mee too bro

[@personsname0]

there are not links to a lot of these videos on your website, it would be good if there was, your videos have helped me big time, cheers!

[@ascend7827]

Thank you so much for explaining everything 😁

[@jasonlvlifequotes9647]

Thank you 😊 very much, I have now understand, great job Sir

[@janahhx3]

thanks a lot patrick! :) i was wondering if you also had videos regarding finding kernel of a linear map?

[@keilonrobertson8165]

I just wanted to say....that you are the hero we need.....but dont deserve....

[@tirthshah1397]

I don't think you have done a video on the 2nd example, have you?

[@munamurad9065]

thank you so much, I so grateful for you

[@hassaan10hyder]

Do both conditions have to be true for it to be L.T.?

[@user-bu8mg7uq3s]

thank you

[@steelboy94]

Patrick your the man!

[@zanduop2746]

in case 2, he previously wrote T(c v)=c T (v) but used u which is 1st vector instead of v which is second , Can we use any of the two vectors in orders to check if 2nd condition satisfies?

[@doctorboat7112]

b)ans. 2)fails because ca2+2 doesn't equal ca2+2c.
Is this correct logic?

[@jeremyarciaga3892]

1) fails as well :)

[@pichu6165]

im confuse. so when you do that that means any value in the right side is useles? base from your example which i think your just proving the values dont matter.

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thanks. i understand your points.
great video

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ur a life saver ,thank you

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Thanks sir

[@TheKefun]

Thank you!

[@marcochamba8780]

Where can I watch the solution of the second example? I did it by myself but I want to know if my answer is correct.

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Really amazing
I take more than 10 lec and know I able to done

[@hamida921]

Great! It was really useful, thanks

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i got good grade thanks to you :)

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god bless this man

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I like ur hand writing :>

[@patrickjmt]

thanks :)

[@ksylla12]

how do we calculate the Compositions of Linear Transformations ?

[@dkscidmore]

Any videos of linear transformations of polynomials into matrix?

[@JennyCopter]

Thank you so much

[@jacksonmadison9994]

So W is not a linear transformation because it doesn’t preserve the zero vector ?

[@lucasmokwa5110]

Thank you so much!

[@Waranle]

Thank you Patrick, :) hope you doing good

[@9a38simranmohapatra5]

Waranle thank u so much

[@fireflies15]

excellent. thank you

[@gauravb997]

to prove whether or not a transformation is linear, do we have to verify both the cases?

[@ibrahimnasir7010]

patrick thaks!

[@patrickjmt]

not at the moment, sorry

[@kothakalvamurali7577]

Today I watch this video 16/03/2021 good teaching sir I from india🥰

[@nicholasfazzolari3647]

Is there a theorem that allows us to identify a property of the transformation to find out if a transformation is not linear? Or do you have to grind through the process each time?

[@Wexexx]

Ruttna Samhället quite some time ago but still: No, not really. But with experinece you can get a really good hunch on wether it's linear or not.

[@hajarimran190]

thank u it was really helpful

[@brisingrsword01]

Thank you very much! =]
Do you have anything on kernels, rank and nullity?

[@aliffrusdi5174]

thanx for these! really helped me in my maths. why arent we funding this??? hehehe

[@asadirfan393]

is there any video that tells what actually transformation means..why we do... what happens graphically

[@Myrslokstok]

Thank you Patrick but way is it a good thing that it is linear. Is it beqause the rules from linear algebra apply then? Michael from Sweden.

[@hadhad129]

this was uploaded on my birthday lol

[@chandnibhudia624]

thanks! what does it mean to say that g restricts to a linear map ??

[@TrickyJebus]

This is really different than what were thought.
like L: bla bla then |1 2| = |x+2y|
|0 2| |x - y|

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Patrick PLEASE TAKE MY MONEY !!!!

[@patrickjmt]

You can be a patron on 'Patreon' and I'd appreciate it :)

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Excellent channel, thnx :)

[@olaobayemigoodness3522]

Please, where can I get the answer to number 2?

[@jsn883]

is the answer no for part b ??

[@trillonairesclub2329]

u are great

[@saimahmed1095]

2022 still easiest video on TH-cam about Linear transformation

[@user-ck6ih7qo9s]

Thanks :)

[@Dotrade]

b ) Is not linear transformation

[@moodinahmed244]

How?

[@areebanwar9229]

so of one condition fails then its not a linear combination

[@iceecream6]

thank youuuuu :)

[@hamzawaqar3817]

100x better than my university professor where I'm paying them god damn 8000$ to teach me the fucking stuff

[@Sai48577]

youtube videos are easy to understand compared to my college professor

[@asadraziq4778]

NICE

[@belowaverageasian7197]

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??

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patrickJMT ... We meet again.

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حد هنا لسا بيشوف الفيديو ده ♥️♥️♥️

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I love you

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Even now in 2021

[@tuarq]

It's 2024 and still easier to understand

[@eppbrandon]

Please lol I'm struggling with this concept lol