(a) identify the transformation, and (b) graphically represent the transform

Lucille Smitherman

Lucille Smitherman

Answered question

2021-11-18

(a) identify the transformation, and
(b) graphically represent the transformation for an arbitrary vector in R2.
T(x, y) = (x + 4y, y)

Answer & Explanation

Louis Gregory

Louis Gregory

Beginner2021-11-19Added 14 answers

Step 1
(a) Given transformation is T(x,y) = (x+4y,y).
The transformation for the horizontal shear is T(x,y) = (x + ky,y).
Here k=4.
Thus, the linear transformation T(x,y) = (x+ 4y,y) ishorizontal shear.
Symbee

Symbee

Beginner2021-11-20Added 17 answers

Step 2
Plot the points(1,1)and (5,1) as shown below.
image

from above figure, the graph of the linear transformation for an arbitrary vector in R2.

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