[Linear Algebra] Geometric Transformations
Geometric Transformations in linear algebra.
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We look at geometric transformations, so reflecting, shearing, compressing, expanding, and projecting.
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Пікірлер: 12
Very helpful video. Thanks a lot. If possible please explain how the transformation will be if there is both horizontal and vertical shearing i.e. all the elements of a 2*2 matrix are 1.
Excellent video. Thank you so much.
Thank you so much for your help.
really good video i am going to get a good mark cuz of your videos thanks man
I think you messed up Horizontal shear a bit. Isnt it supposed to change x1 instead of x2 ? Anyways thanks for the lectures 🖤
@holo23
2 жыл бұрын
Late reply, but I think so too
@baopham9233
2 жыл бұрын
@@holo23 Agree, x1 should remain unchanged
@danielbostock595
Жыл бұрын
@@baopham9233 no that's the point, I think x_2 shouldn't change
@jouellafabe1646
10 ай бұрын
@@danielbostock595 if you do the operation for horizontal shear transformation: |1 k| * |x1| |0 1| |x2|. You'll get |x1 + kx2| |x2|
TheTrevTutor > khan academy
@commenting000
4 жыл бұрын
This is the truth, Sal Khan is good at what he does. But his ability to teach Linear Algebra does not compare with Trevor's.
He should have taken I X = Y and apply transformation on both sides Horizontal shear -> where Y = T(X) 1) y1 -> x1+k*(x2) 2) y2 -> x2 [ 1 0 ] [x1] = [y1] [0 1 ] [x2] = [y2]