(1 point) For each of the following linear transformations f, find a matrix A su
ID: 3135852 • Letter: #
Question
(1 point) For each of the following linear transformations f, find a matrix A such thatf(v) Av for all v 3x-2y 2x + y-5c 2.fy 3x-2z -4x + 2y-2z (1 point) A shearing is a Inear function T:R2 R2 ofthe form TCI)01 x+C where c E R is a parameter called the shear factor (a) Find a matrix A such that Av= T(v) for all v, where T is the above shearing with shear factor c 2. Which of the following graphs shows the image of the unit square under a shear with shear factor c 2? In each graph, the unit square is shown in black and its image in colorYou can click on each image to see a larger version. A. B. C. D.Explanation / Answer
A = [-2, -1 ; 3, -2]
A = [2, 1, -5 ; 3, 0, -2 ; -4, 2, -2]
A = [1, c ; 0, 1]
For c = 2, A = [1, 2 ; 0, 1]
One vector will point towards (1, 0) and the other one points towards (2,1)
Hence D is the correct option.
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