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

khi1la2f1qv 2021-11-21 Answered
(a) identify the transformation, and
(b) graphically represent the transformation for an arbitrary vector
in R2.
T(x, y) = (12x, y)
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Expert Answer

Sue Leahy
Answered 2021-11-22 Author has 13 answers
Step 1
(a) It is given that T(x,y)=(12x.y).
Step 2
For a given transformation T(x,y) =(kx,y), the horizontal expansion occurs when k > 1.
Here k=12(>1)
Thus, the given linear transformation is a horizontal expansion.

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Sact1989
Answered 2021-11-23 Author has 10 answers

Step 3
(b) Here
T(11)=(121,1)
=(12,1)
Graph the given linear transformation as shown below:
image

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