Determine if the matrix does any of the following: • A rotation • A projection • A reflection • Preserves the shape of the unit square • Preserves the area of the unit square
Determine if the matrix does any of the following: • A rotation • A projection • A reflection • Preserves the shape of the unit square • Preserves the area of the unit square
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 =
2
1
O
-1
-2
C=
2
1
-1
-2
[0.5 0.0]
0.0 2.0
-2 -1
0
-2
NO
Ce₁
-1
Ae₂
Ce₂
Ae₁
0 1
0 1
2
2
B =
2
1
0
-1
-2
D=
2
1
-1
-2
ALAS
-2
4
[0.5 0.5]
[0.5 0.5]
-2
22
1
0.433 0.250
-0.250 0.433]
Be₂
0
Be₁
1
De₂
De
1
2
2
E =
2
-1
-2
-2
劃
[0.866 -0.500]
0.500 0.866
Ee₂
Ee₁
-1 0 1 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b12454d-3d87-4e03-812b-30094a11bb49%2Fbee9cf04-d09e-4d72-91ea-c6539b8e864b%2Flwfme6q_processed.png&w=3840&q=75)
Transcribed Image Text:A =
2
1
O
-1
-2
C=
2
1
-1
-2
[0.5 0.0]
0.0 2.0
-2 -1
0
-2
NO
Ce₁
-1
Ae₂
Ce₂
Ae₁
0 1
0 1
2
2
B =
2
1
0
-1
-2
D=
2
1
-1
-2
ALAS
-2
4
[0.5 0.5]
[0.5 0.5]
-2
22
1
0.433 0.250
-0.250 0.433]
Be₂
0
Be₁
1
De₂
De
1
2
2
E =
2
-1
-2
-2
劃
[0.866 -0.500]
0.500 0.866
Ee₂
Ee₁
-1 0 1 2
Transcribed Image Text:Determine if the matrix does any of the following:
A rotation
• A projection
• A reflection
• Preserves the shape of the unit square
• Preserves the area of the unit square
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