Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. 7 [23]-[28] 4 4 A. T(A) = A |B. T(A) = [ 7 2] -3 4 -7 4x4 C. T(A) = det(A) from R² to R D. T(A) = A 1 9] 5 A from R2x2 to R2x2 A from R2X3 to R²x3 4 E. T(A) = A + I3 from R³×³3 F. T(A) = 3A from R 5x4 to R from R to R2x2 to R 3x3 5x4
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. 7 [23]-[28] 4 4 A. T(A) = A |B. T(A) = [ 7 2] -3 4 -7 4x4 C. T(A) = det(A) from R² to R D. T(A) = A 1 9] 5 A from R2x2 to R2x2 A from R2X3 to R²x3 4 E. T(A) = A + I3 from R³×³3 F. T(A) = 3A from R 5x4 to R from R to R2x2 to R 3x3 5x4
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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Question
![Which of the following transformations are linear? Select all of the linear transformations. There may be
more than one correct answer. Be sure you can justify your answers.
A. T(A) = A
-8
12 31-12
4
4
7 8
5
B. T(A)
-7 2
C. T(A) = det(A) from R4×4 to R
D. T(A) =
21]
4
E. T(A) = A + I3 from R³×3
F. T(A) =
3A from R 5x4
A from R2x3 to R²x3
A from R2x2
from R to R2
to R 3x3
to R 5x4
2x2
to R2x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5bc28c8-e2da-4655-bd50-d87af98278d3%2Fc4b08885-d009-4263-b557-1b4c1a21f98e%2F630n5oj_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following transformations are linear? Select all of the linear transformations. There may be
more than one correct answer. Be sure you can justify your answers.
A. T(A) = A
-8
12 31-12
4
4
7 8
5
B. T(A)
-7 2
C. T(A) = det(A) from R4×4 to R
D. T(A) =
21]
4
E. T(A) = A + I3 from R³×3
F. T(A) =
3A from R 5x4
A from R2x3 to R²x3
A from R2x2
from R to R2
to R 3x3
to R 5x4
2x2
to R2x2
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