These videos are single-handedly pulling me through my numerical computing class in uni. Such a gem. Thank you.
@isaacamornorteyyowetu Жыл бұрын
Waow. It's a pleasure
@ricardoraymond90372 жыл бұрын
The great thing about your tutorials is you use matrix enteries of rows and columns to show the concepts unlike others who only use matrix symbols like AA^T etc to explain which turns out more confusing. You have the correct approach!
@isaacamornorteyyowetu2 жыл бұрын
Thanks for the feedback. I'm happy to hear that.
@godvana1017 Жыл бұрын
Out of all the videos I have watched yours is the first one that really made me understand this rotation method for my upcoming exam. Really really well done, simple and straight to the point of how its done. Thank you so much and greetings from Germany!
@isaacamornorteyyowetu Жыл бұрын
Thanks for the feedback
@itsmidonah4 ай бұрын
best internet teacher in this section, thank u
@isaacamornorteyyowetu3 ай бұрын
It's a pleasure. Thanks too for the comments
@fatimaginebra78842 жыл бұрын
Thank you! This is the only step-by-step that actually explains doing QR through Givens Rotation. Thank you!
@isaacamornorteyyowetu Жыл бұрын
Glad it was helpful!
@AlexAlex-cl4tz3 жыл бұрын
I found a typo on 5:19 in matrix G2 (last row c and s need flip)
@isaacamornorteyyowetu3 жыл бұрын
I see.Thanks so much it is really a typo.
@davidcarausu925625 күн бұрын
I am gonna tell my grandmother to pray for you !
@isaacamornorteyyowetu10 күн бұрын
Thanks
@bigenimanajeanclaudebezale28142 жыл бұрын
Thanks for this detailed and easy to understand example
@isaacamornorteyyowetu2 жыл бұрын
Glad it was helpful!
@Thesavage2352 жыл бұрын
Thank you very much! This video helped me a lot.
@isaacamornorteyyowetu2 жыл бұрын
Glad it helped!
@hieuletrung25152 жыл бұрын
This really helps me, easy to understand
@isaacamornorteyyowetu2 жыл бұрын
Thanks for the great feedback. Well appreciated. Kindly subscribe, like and share with friends.
@grs35793 жыл бұрын
love your work, easy to understand
@isaacamornorteyyowetu3 жыл бұрын
Happy to hear that!
@user-pj7ch2rk6l11 ай бұрын
Good job!
@isaacamornorteyyowetu6 ай бұрын
Thanks
@mathematicslessonsandtutor80062 жыл бұрын
Thank you for this video
@isaacamornorteyyowetu2 жыл бұрын
My pleasure
@zz27298 ай бұрын
Thank you! Your video helps me a lot!!!!
@isaacamornorteyyowetu6 ай бұрын
Glad it helped!
@marinabastos26303 жыл бұрын
Thank you for the explanation! This helped me!
@isaacamornorteyyowetu3 жыл бұрын
I'm also glad! Thanks for the feedback
@kwesia.ohene-obeng4503 Жыл бұрын
How do you choose the position of c and s at each stage?
@isaacamornorteyyowetu Жыл бұрын
With reference to the Gives' Matrix, we always have a square matrix. The c's will be along the diagonal and the s will be along the off-diagonal. If you take notice, the c's are attached to the x's selected and the s's are more attached to the y's we want to delete. Then the position of both x and y in the matrix will influence us on how to position the c's and s's. I think this explanation helps. Sorry for the late reply. :) There is actually a typo at 5:19. Thus G2. Thanks.
@ShubhamKhandelwalmam Жыл бұрын
outstanding lecture.
@isaacamornorteyyowetu Жыл бұрын
Many thanks. That's great to know.
@restacks87772 жыл бұрын
Very helpful, thank you
@isaacamornorteyyowetu2 жыл бұрын
Glad it was helpful! Kindly share it with friend. God bless you.
@ahmedainancheh74513 жыл бұрын
easy to understand . thank you very much
@isaacamornorteyyowetu3 жыл бұрын
Thanks for the feedback.
@muzuriaimable95813 жыл бұрын
Thank you for your explanation bro
@isaacamornorteyyowetu3 жыл бұрын
That's great to hear.
@ticimici.8 ай бұрын
thanks bro
@isaacamornorteyyowetu6 ай бұрын
Welcome
@virginieyoukoudjou16573 жыл бұрын
Thanks for the video. by the way there is a little mistake in the answer of G1.A1. The -1 should be on the last row and not the row before
@isaacamornorteyyowetu3 жыл бұрын
Ok. Thanks. That's typing error.
@jacobclinton98492 жыл бұрын
Where did the R matrix at the end come from, and how do I work it out.
@isaacamornorteyyowetu2 жыл бұрын
We obtained that from G3*A3. I believe the explanation helps.
@nobodyreally16342 жыл бұрын
Thanks for this very helpful video. One thing that is still unclear to me however, how do you choose x?
@isaacamornorteyyowetu2 жыл бұрын
x is the pivot element. Once x is chosen, it means y, an element beneath this x will be deleted when selected. I believe the explanation helps!
@dmit102 жыл бұрын
It would be nice if you could demonstrate this method on a companion matrix. It's an interesting idea to compute polynomial roots.
@judas67264 ай бұрын
What if our matrix is a 3x2?
@ttl8301 Жыл бұрын
Can you explain more in detail how or why you know to pick x and y, and how you know the placement of c,s,-s and c for G1, G2 and G3.
@isaacamornorteyyowetu Жыл бұрын
x a pivot element and y is any number beneath the x and you intended to make 0.
@tudormarian49162 жыл бұрын
What elements change by multiplying a square matrix on the left by a Givens plane of rotation? Argue.
@isaacamornorteyyowetu2 жыл бұрын
All the elements in the resulting matrix change. But is worth noting that the y value chosen to construct the givens rotation matrix runs to zero after the multiplication.
@isaacamornorteyyowetu2 жыл бұрын
I hope the explanation above helps?
@tudormarian49162 жыл бұрын
@@isaacamornorteyyowetu thank you very much sir, so it was kind of a bluff question, because I tended to belive that only the elements from below the main diagonal get changed.
@isaacamornorteyyowetu2 жыл бұрын
@@tudormarian4916 :) That's fine.
@mathmatemathmade89852 жыл бұрын
How did you choose x and y
@isaacamornorteyyowetu2 жыл бұрын
x is always the pivot (diagonal) element and y is the element below the x value we want to change to zero. I trust the explanation helps.
@joseantonioorozcotovar34263 жыл бұрын
Isaac in 5:55 min, the slide show G2 wrong, check it
@isaacamornorteyyowetu3 жыл бұрын
Thanks. You're right. It was a typographical error. Please, I will need you to subscribe to my channel.
@nhattran53752 жыл бұрын
do you have applications of givens rotation?
@isaacamornorteyyowetu2 жыл бұрын
This approach is based on QR decomposition. It has it's application also in Neural Networks. Reference: "Application of the Givens Rotations in the Neural Network Learning Algorithm."
@nhattran53752 жыл бұрын
@@isaacamornorteyyowetu thank you so much
@isaacamornorteyyowetu2 жыл бұрын
Welcome sir
@francescofoschi89413 жыл бұрын
Hello fellow tacticians
@isaacamornorteyyowetu3 жыл бұрын
Hi Foschi
@godvana1017 Жыл бұрын
Out of all the videos I have watched yours is the first one that really made me understand this rotation method for my upcoming exam. Really really well done, simple and straight to the point of how its done. Thank you so much and greetings from Germany!