Uniform Scaling: Want to scale our cube by s? [1 0 0 0 I 0 1 0 0 Use Ts = 00 1 0 000 S Note that if s< 1 our cube becomes uniformly larger. If s> 1 our cube shrinks uniformly. [0 2 2 0 0 2 2 07 0 0 3 3 0 0 3 3 7. Multiplying our cube by T₂ M = 1 1 1 1 0 0 0 0 2 2 2 2 2 2 2 2 Note our s = 2 so T₂ uniformly shrinks our cube. Why is this? [Hint: convert from homoge- neous coordinates to (x, y, z)]
Uniform Scaling: Want to scale our cube by s? [1 0 0 0 I 0 1 0 0 Use Ts = 00 1 0 000 S Note that if s< 1 our cube becomes uniformly larger. If s> 1 our cube shrinks uniformly. [0 2 2 0 0 2 2 07 0 0 3 3 0 0 3 3 7. Multiplying our cube by T₂ M = 1 1 1 1 0 0 0 0 2 2 2 2 2 2 2 2 Note our s = 2 so T₂ uniformly shrinks our cube. Why is this? [Hint: convert from homoge- neous coordinates to (x, y, z)]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Uniform Scaling:
Want to scale our cube by s?
[1 00
0
0 0
1 0 0
1 0
00 0 S
Note that if s< 1 our cube becomes uniformly larger. If s > 1 our cube shrinks uniformly.
Use Ts=
=
7. Multiplying our cube by T₂. M
Note our s = 2 so T₂ uniformly
neous coordinates to (x, y, z)]
[0 2 2 0 0 2 2 0
0033 0033
1 1 1 1
0000
2 2 2 2
2 2 2 2
shrinks our cube. Why is this? [Hint: convert from homoge-
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc495729c-fc87-4b7b-a937-12ad0926c14e%2F865f1c7c-80fc-4c69-a82d-2e8b6d814b8a%2F1mj05ht_processed.png&w=3840&q=75)
Transcribed Image Text:Uniform Scaling:
Want to scale our cube by s?
[1 00
0
0 0
1 0 0
1 0
00 0 S
Note that if s< 1 our cube becomes uniformly larger. If s > 1 our cube shrinks uniformly.
Use Ts=
=
7. Multiplying our cube by T₂. M
Note our s = 2 so T₂ uniformly
neous coordinates to (x, y, z)]
[0 2 2 0 0 2 2 0
0033 0033
1 1 1 1
0000
2 2 2 2
2 2 2 2
shrinks our cube. Why is this? [Hint: convert from homoge-
=
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