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

khi1la2f1qv

khi1la2f1qv

Answered question

2021-11-21

(a) identify the transformation, and
(b) graphically represent the transformation for an arbitrary vector
in R2.
T(x, y) = (12x, y)

Answer & Explanation

Sue Leahy

Sue Leahy

Beginner2021-11-22Added 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.
Sact1989

Sact1989

Beginner2021-11-23Added 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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