A. L(A) = A5 from R5x5 to R5x5 B. L(A)=9A from R5×4 to R5×4 C. L(A) = A -96 7 from R to R²x2
A. L(A) = A5 from R5x5 to R5x5 B. L(A)=9A from R5×4 to R5×4 C. L(A) = A -96 7 from R to R²x2
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
Which of the following transformations are linear? Select all of the linear transformations. (There may be more than one correct answer)
![A. L(A) = A5 from R5x5 to R5x5
B. L(A)=9A from R5×4 to R5x4
-9 6
7 5
C. L(A) = A
-7 9
3
E. L(A) = AT from R³x4 to R4x3, where A¹ denotes the transpose of A
D. L(A) = ASA-¹ from R²×2 to R²×², where S
2x2
=
F. L(A) = A
from R to R²x2
8
4
-3
7
8 3
3]
1
A from R2x2 to R²x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f584f04-3f79-49ef-8396-082a6f07ddec%2F79403676-e51e-49d4-adf6-67b559007129%2Fjnmlwe3_processed.png&w=3840&q=75)
Transcribed Image Text:A. L(A) = A5 from R5x5 to R5x5
B. L(A)=9A from R5×4 to R5x4
-9 6
7 5
C. L(A) = A
-7 9
3
E. L(A) = AT from R³x4 to R4x3, where A¹ denotes the transpose of A
D. L(A) = ASA-¹ from R²×2 to R²×², where S
2x2
=
F. L(A) = A
from R to R²x2
8
4
-3
7
8 3
3]
1
A from R2x2 to R²x2
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