A) Let f: R² R² be defined by k 0 f( = = 0 transformation u, where k is a scalar. The k f is called dilation if k> 1 and it is called contraction if 0
A) Let f: R² R² be defined by k 0 f( = = 0 transformation u, where k is a scalar. The k f is called dilation if k> 1 and it is called contraction if 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![A) Let f: R² R² be defined by
0
f(u) = [ko]
0
transformation f is called dilation if k> 1 and it
is called contraction if 0 <k < 1.
u, where k is a scalar. The
Consider the rectangle R with the vertices
(-2, 1), (-2,5), (4, 1), (4, 5). Suppose f is the
dilation with k = 3. Find the image of R. Draw the
rectangle R and its image on the xy-plane.
B) Let f: R² R² be defined by
1
0
f(u) = [] u. The transformation f is
called the reflection with respect to x-axis.
Consider the triangle Twith the vertices
(-1,-1), (2, 4), (5,2). Suppose f is the
reflection with respect to x-axis. Find the image
of T. Draw the triangle Tand its image on the xy-
plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8946e983-4061-4b18-999e-bf2bcddca63c%2F30075d22-c8f1-4505-863a-ff5029c8311a%2Fd9p6e8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A) Let f: R² R² be defined by
0
f(u) = [ko]
0
transformation f is called dilation if k> 1 and it
is called contraction if 0 <k < 1.
u, where k is a scalar. The
Consider the rectangle R with the vertices
(-2, 1), (-2,5), (4, 1), (4, 5). Suppose f is the
dilation with k = 3. Find the image of R. Draw the
rectangle R and its image on the xy-plane.
B) Let f: R² R² be defined by
1
0
f(u) = [] u. The transformation f is
called the reflection with respect to x-axis.
Consider the triangle Twith the vertices
(-1,-1), (2, 4), (5,2). Suppose f is the
reflection with respect to x-axis. Find the image
of T. Draw the triangle Tand its image on the xy-
plane.
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