[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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[@satishnatarajan]

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.

[@MasayoMusic]

Excellent video. Thank you so much.

[@theebikavisakan4794]

Thank you so much for your help.

[@naveensayeeram3068]

really good video i am going to get a good mark cuz of your videos thanks man

[@salarabbasi3410]

I think you messed up Horizontal shear a bit. Isnt it supposed to change x1 instead of x2 ? Anyways thanks for the lectures 🖤

[@holo23]

Late reply, but I think so too

[@baopham9233]

@@holo23 Agree, x1 should remain unchanged

[@danielbostock595]

@@baopham9233 no that's the point, I think x_2 shouldn't change

[@jouellafabe1646]

@@danielbostock595 if you do the operation for horizontal shear transformation: |1 k| * |x1| |0 1| |x2|. You'll get |x1 + kx2| |x2|

[@revanthkalavala1829]

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]

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