Linear Transformations on Vector Spaces

[@4AdamDuane]

Dave, I watched 4 videos and a half dozen books on Linear Transformations, and didn't get it UNTIL your video here. THANK YOU. I feel like I'm starting to understand.

[@bernab]

One thing I love from your videos is that I understand the concepts and even the calculus faster and easier than normal , standard linear algebra and other math books. Even in my native language!.

[@lanzostudent1925]

have my exam tomorrow you stay saving lives professor Dave!!

[@benfennell1430]

How did the exam go?

[@Ilke_Semerci]

@@benfennell1430 hahahaha I have exam tomorrow too and I can tell you that I'm failing 100%

[@sedefsarialan7320]

I'm literally gonna cry I have been struggling for 3 months thank you so much Dave you are the best I hope you have a fabulous day

[@codingwithelhacen990]

You are gradually filling my brian with a great understanding of linear algebra. Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@joshswanson0]

is brian filled up?

[@NisargGandhi-g9i]

Watching this one day before exam and I learnt more than what I did in the entire semester. Thanks so much!

[@hajyfirtz1612]

What a professor...🙌easy, simple and clearer

[@nellvincervantes6233]

This is the only vid that I can understand complex topics like this linear transformation. Thanks prof. 😊

[@putin_navsegda6487]

Thank you sir! You perfectly explain complicated things in accessible manner!

[@DeLuini985]

Probably the best part are the comprehension sections i. The videos, applying what we learned immediately. Thanks prof.Dave

[@RonLWilson]

Great presentation! Easy to follow.

[@a.human.]

This was sooooo helpful!!!! You deserve more views, sir. The explanation was on point, hats off.

[@Kozim10]

Thank you very much! Your video is the only one that actually helped me! It’s a pity I haven’t found you earlier :))

[@DeepeshMaan]

you made it too easy to let me understand all this stuff. thanks a lot .

[@whatamess9724]

honestly, it's the most understandable video so far

[@farhatfatima1168]

Sir... your way of teaching is very excellent

[@p.c2750]

Thank you for your mature presentation

[@mortezashahverdi3290]

very good explanation sir

[@CSBPRAKASHDEEPAK]

Lecture was amazing. Thanks Mr Dave sir.

[@ItachiUchiha-wk3zm]

THANK YOU PROFESSOR DAVE

[@VikasAgarwal84]

This is the best of all out there

[@omaraki01]

Wow... Thank you for your knowledge!

[@DannyNguyen-i5t]

I agreed with others. Thanks so much, you made things are clearly and simple. Wonderful works!

[@gabrielparedes2222]

What about mapping V(0)-->0 ? Isn't this a property of a linear transformation as well ? Check 1:30

[@aseruajanifer7687]

wow dear sir, you're the best. Thanks a lot.

[@lesorogolfrancisco8832]

Well understood. Thank you for your elaborate explanations. So perfect!

[@ulisesperez1241]

this is so well explained. thanks

[@EverydayMaze]

amazing! This topic clearly explained in simple language.Thankyou!!

[@neomahlangu8728]

absolutely stunning video!

[@juliannacarson]

Your videos are so helpful! Thank you!

[@jackkensik7002]

Hi, It was a great video. You should make a video about representing differential equations as matrices.

[@mediwise2474]

How to learn it

[@ryanmelick7414]

i like a lot of your videos but i think you did a great job explaining this concept thanks sm!

[@praveen7603]

8:05 shifting of coordinate system is not linear transformation.

[@MrUnstoppableHeart]

what the fuck, the first 60 seconds was more helpful than 25mins of a mit lecture

[@BobJones-bg4ui]

Thanks for the help!

[@zamokuhleduma3673]

WOW..Thank you makes perfect sense

[@kimberlyc416]

where can i get the working out for that comprehension problem?

[@iced751]

At 2:37 I'm confused on how the first entry is V2. Why is the first entry not V1, then V1+V2, why is it V2?

[@ChallengeAll]

That the question you must follow to verify

[@FsimulatorX]

(0 * v1) + (1 * v2) = v2

[@theuser810]

Wait, its that simple 0_o Thanks for these videos, they are super helpful!

[@mdmahmoodur8173]

Best explanation

[@jisakshiswami7676]

Hi professor, can we go for few numerical base on this concept?

[@neeladke9557]

Who tf invented maths

[@potatoffu]

It's a discovery

[@Yojesschill]

@@potatoffu it’s an invention that describes discoveries.

[@potatoffu]

@@Yojesschill spot on

[@ivoryas1696]

​@@Yojesschill Huh. 📠

[@shibamjoardar8539]

Why the f 😭😭😭

[@trillonairesclub2329]

you great professor thank you

[@prachidhore7739]

I just learnt 1months portion in 1day..😢.. thank you sir

[@ansh2449]

Thanks ❤

[@leak5005]

Professor Dave cooking as always 🦍 (this comment was brought to you by Kong Strong)

[@AmNotAugust]

straight forward💯💯💯💯

[@alagappank1242]

Very useful sir....

[@rohanrameshraikar567]

Is any prof better than Mr. Dave? Nope, Not at all !

[@mcalkis5771]

Great video. I can't recall if you've answered this already but could a scalar be considered as a 1x1 matrix?

[@MagoIsmayilov]

yes

[@MangoLassiYT]

how to do 2nd question please can anyboy explain me please 8:26

[@beschuitelia1987]

So you have given the vectors of v and w. v = and w= . Draw this vector on paper for yourself. You have to know that from the top to the bottom of the vector they are named as v1, v2 and v3, so for vector "v": v1=2, v2=3, v3=-1. For vector "w": v1=5, v2=1, v3=2. So to transform vector "v" you only need to fill these v1,v2,v3 into the right side of the equation from L(v) that is given. Do the same for vector "w" and you have for both vector w and v the transformed ones! Hope this helped you!

[@hmm5051]

@@beschuitelia1987 how to find the 1st answer

[@mateojoel3569]

I watched 6 videos of 20 minutes and u already resume 2 months of classes

[@redditindia01]

THE SET OF ALL VECTORS IN A SPHERE OF FINITE RADIUS IS A REAL VECTOR SPACE TRUE OR FALSE?

[@vistawilliam820]

God bless you bro

[@Jesupemiabere]

I don't really understand How do I do the transformation (number 2 in comprehension) I thought we were to be given the transformation and then told to check

[@aviluminos8759]

The transformation is given above the questions. You just need to substitute values of v and w for v1, v2, v3 that's it!

[@kevinzebb]

here for my class

[@Ani3479]

I'm not sure how to solve the last question, can someone help?

[@RahulSharma-oc2qd]

In the answer of first question you got a matrix of dimensions 2x3 which is getting multiplied by a vector (or precisely a column vector) called as v..... So simply put second question's vector elements as column vector in first question's answer... So finally you will have a matrix of order 2x3 which is multiplying by a column vector having elements as (2,3,-1) you can easily multiply those two entities. Hope that clarifies your doubts.

[@MangoLassiYT]

@@RahulSharma-oc2qd how to solve the last question "Transform V = and W = "

[@囖璱癲闟]

sooooo clear

[@supercheese8663]

I Still don't understand hw to do the first question

[@ashmung]

Thank u :)

[@reniabrown4411]

Are all 180 degree rotations linear independent?

[@erikawimmer7908]

Yes i guess

[@togetherwithnomin]

Omg Lifesaver

[@iamastudent-arun1212]

9:11

[@Mark-nm9sm]

Very good video now i can map an apple into a hamburger

[@kizzles8555]

Thanks math jesus

[@Russdgaf]

Not quite clear.....could you use more inept examples

[@harshitjain1809]

Love you

[@MangoLassiYT]

how do you solved the 2nd question

[@MohammedBaaba-w9u]

Please I need economic aspects

[@ProfessorDaveExplains]

visit my economics playlist

[@mehdimansouri1547]

Great

[@gamingtitan0]

Congrats for confusing my whole life.

[@srinityapadma5125]

Thank you so much Sir.../\

[@soumodipghosh1954]

Sir, I am from India, this course is sufficient for a 12 standard student who is going to give his final borad exam?

[@nabarupghosh8257]

Veveveveveveveve

[@FootLettuce]

Stop watching anime brother. We must fight the MPLA. (MapPing Linear Algebra)

[@camellemons3737]

your hairrrrrrrr :((((((((((((

[@e8lattice487]

Correction in test part: L(v) = not

[@vishalkaranam]

v = and not v = L(v) =