Linear Transformations on Vector Spaces
ฝัง
- เผยแพร่เมื่อ 4 ก.ค. 2024
- Remember when we learned about functions in algebra? Now we will learn something analogous for linear algebra, linear transformations. These take in some input vector and spit out something else. Let's learn how to use these!
Script by Howard Whittle
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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!.
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
What a professor...🙌easy, simple and clearer
This is the only vid that I can understand complex topics like this linear transformation. Thanks prof. 😊
This was sooooo helpful!!!! You deserve more views, sir. The explanation was on point, hats off.
Thank you sir! You perfectly explain complicated things in accessible manner!
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%
Great presentation!
Easy to follow.
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
Sir... your way of teaching is very excellent
Well understood. Thank you for your elaborate explanations. So perfect!
Lecture was amazing. Thanks Mr Dave sir.
amazing! This topic clearly explained in simple language.Thankyou!!
Thank you for your mature presentation
i like a lot of your videos but i think you did a great job explaining this concept thanks sm!
you made it too easy to let me understand all this stuff. thanks a lot .
I agreed with others. Thanks so much, you made things are clearly and simple. Wonderful works!
You are gradually filling my brian with a great understanding of linear algebra. Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!
is brian filled up?
Your videos are so helpful! Thank you!
very good explanation sir
honestly, it's the most understandable video so far
Wow... Thank you for your knowledge!
absolutely stunning video!
THANK YOU PROFESSOR DAVE
Hi professor, can we go for few numerical base on this concept?
this is so well explained. thanks
This is the best of all out there
wow dear sir, you're the best. Thanks a lot.
Thanks for the help!
Hi, It was a great video. You should make a video about representing differential equations as matrices.
How to learn it
Who tf invented maths
It's a discovery
@@potatoffu it’s an invention that describes discoveries.
@@Yojesschill spot on
@@Yojesschill
Huh.
📠
Why the f 😭😭😭
WOW..Thank you makes perfect sense
Great video. I can't recall if you've answered this already but could a scalar be considered as a 1x1 matrix?
yes
you great professor thank you
Very useful sir....
Thanks
❤
Best explanation
Wait, its that simple 0_o
Thanks for these videos, they are super helpful!
sooooo clear
Thank u :)
what the fuck, the first 60 seconds was more helpful than 25mins of a mit lecture
straight forward💯💯💯💯
Are all 180 degree rotations linear independent?
Yes i guess
8:05 shifting of coordinate system is not linear transformation.
I Still don't understand hw to do the first question
Omg Lifesaver
Great
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
THE SET OF ALL VECTORS IN A SPHERE OF FINITE RADIUS IS A REAL VECTOR SPACE TRUE OR FALSE?
Thank you so much Sir.../\
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!
Love you
how do you solved the 2nd question
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 watched 6 videos of 20 minutes and u already resume 2 months of classes
Very good video now i can map an apple into a hamburger
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
Not quite clear.....could you use more inept examples
Is any prof better than Mr. Dave?
Nope, Not at all !
Thanks math jesus
is there anything this man doesn't know
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.
Veveveveveveveve
Stop watching anime brother.
We must fight the MPLA.
(MapPing Linear Algebra)
your hairrrrrrrr :((((((((((((
Correction in test part: L(v) = not