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.
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!.
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.
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
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!
“linear transformation” is a clunky term. It’s a specific instance of a “homomorphism,” a map which preserves structure. In vector spaces you can add or scale, and so linear transformations are those maps between vector space for which you can scale/add before or after you push through the linear transformation-it doesn’t matter, since it preserves the structure. I swear undergraduate math is taught in such a scattered, non-unified way. We need a math revolution and start teaching group theory to children (this is a serious comment)
My man, you don't know the real confusion until you decided one day to study Chinese and pass language exam and then go to a Chinese uni to study, then and only then can one truly experience the pinnacle of confusion, and it's not fun having to decipher every single thing and just hope you are right lol
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.
Watching this one day before exam and I learnt more than what I did in the entire semester. Thanks so much!
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!.
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
have my exam tomorrow you stay saving lives professor Dave!!
How did the exam go?
@@benfennell1430 hahahaha I have exam tomorrow too and I can tell you that I'm failing 100%
You are gradually filling my brian with a great understanding of linear algebra. Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!
This was sooooo helpful!!!! You deserve more views, sir. The explanation was on point, hats off.
What a professor...🙌easy, simple and clearer
This is the only vid that I can understand complex topics like this linear transformation. Thanks prof. 😊
Thank you very much! Your video is the only one that actually helped me! It’s a pity I haven’t found you earlier :))
Probably the best part are the comprehension sections i. The videos, applying what we learned immediately.
Thanks prof.Dave
Thank you sir! You perfectly explain complicated things in accessible manner!
Great presentation!
Easy to follow.
Sir... your way of teaching is very excellent
honestly, it's the most understandable video so far
you made it too easy to let me understand all this stuff. thanks a lot .
Thank you for your mature presentation
very good explanation sir
This is the best of all out there
THANK YOU PROFESSOR DAVE
Lecture was amazing. Thanks Mr Dave sir.
I agreed with others. Thanks so much, you made things are clearly and simple. Wonderful works!
wow dear sir, you're the best. Thanks a lot.
Well understood. Thank you for your elaborate explanations. So perfect!
Wow... Thank you for your knowledge!
i like a lot of your videos but i think you did a great job explaining this concept thanks sm!
this is so well explained. thanks
Hi, It was a great video. You should make a video about representing differential equations as matrices.
How to learn it
amazing! This topic clearly explained in simple language.Thankyou!!
What about mapping V(0)-->0 ? Isn't this a property of a linear transformation as well ? Check 1:30
absolutely stunning video!
Your videos are so helpful! Thank you!
Thanks for the help!
WOW..Thank you makes perfect sense
Wait, its that simple 0_o
Thanks for these videos, they are super helpful!
Best explanation
Hi professor, can we go for few numerical base on this concept?
Thanks
❤
you great professor thank you
straight forward💯💯💯💯
Very useful sir....
where can i get the working out for that comprehension problem?
Great video. I can't recall if you've answered this already but could a scalar be considered as a 1x1 matrix?
yes
Thank u :)
God bless you bro
what the fuck, the first 60 seconds was more helpful than 25mins of a mit lecture
8:05 shifting of coordinate system is not linear transformation.
I just learnt 1months portion in 1day..😢.. thank you sir
sooooo clear
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?
That the question you must follow to verify
(0 * v1) + (1 * v2) = v2
Love you
how do you solved the 2nd question
Professor Dave cooking as always 🦍 (this comment was brought to you by Kong Strong)
THE SET OF ALL VECTORS IN A SPHERE OF FINITE RADIUS IS A REAL VECTOR SPACE TRUE OR FALSE?
Omg Lifesaver
I watched 6 videos of 20 minutes and u already resume 2 months of classes
Are all 180 degree rotations linear independent?
Yes i guess
Great
Bravooooo niceeeee
Please I need economic aspects
visit my economics playlist
I'm not sure how to solve the last question, can someone help?
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.
@@RahulSharma-oc2qd how to solve the last question "Transform V = and W = "
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
The transformation is given above the questions. You just need to substitute values of v and w for v1, v2, v3 that's it!
here for my class
how to do 2nd question please can anyboy explain me please 8:26
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!
@@beschuitelia1987 how to find the 1st answer
Is any prof better than Mr. Dave?
Nope, Not at all !
“linear transformation” is a clunky term. It’s a specific instance of a “homomorphism,” a map which preserves structure.
In vector spaces you can add or scale, and so linear transformations are those maps between vector space for which you can scale/add before or after you push through the linear transformation-it doesn’t matter, since it preserves the structure.
I swear undergraduate math is taught in such a scattered, non-unified way. We need a math revolution and start teaching group theory to children (this is a serious comment)
I Still don't understand hw to do the first question
Very good video now i can map an apple into a hamburger
Who tf invented maths
It's a discovery
@@potatoffu it’s an invention that describes discoveries.
@@jesswillmakeitsoon spot on
@@jesswillmakeitsoon
Huh.
📠
Why the f 😭😭😭
Thank you so much Sir.../\
Not quite clear.....could you use more inept examples
Thanks math jesus
9:11
Sir, I am from India, this course is sufficient for a 12 standard student who is going to give his final borad exam?
Congrats for confusing my whole life.
My man, you don't know the real confusion until you decided one day to study Chinese and pass language exam and then go to a Chinese uni to study, then and only then can one truly experience the pinnacle of confusion, and it's not fun having to decipher every single thing and just hope you are right lol
Veveveveveveveve
your hairrrrrrrr :((((((((((((
Stop watching anime brother.
We must fight the MPLA.
(MapPing Linear Algebra)
Correction in test part: L(v) = not
v = and not v =
L(v) =