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. 44₁ B. T(A) = A +1₁ from R4x4 to R4x4 c. T(A) = ASA-¹ from R2x2 to R²x2, where S = A. T(A) = = A A from R²x2 to 1²x2 -3 [38] E. T(A) = AT from R4x6 to R6x4 F.T(A) = SAS-¹ from R²x2 to R²x2, where S= D. T(A) = = A from R to R2x2 -9 3 5 8 9 0
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. 44₁ B. T(A) = A +1₁ from R4x4 to R4x4 c. T(A) = ASA-¹ from R2x2 to R²x2, where S = A. T(A) = = A A from R²x2 to 1²x2 -3 [38] E. T(A) = AT from R4x6 to R6x4 F.T(A) = SAS-¹ from R²x2 to R²x2, where S= D. T(A) = = A from R to R2x2 -9 3 5 8 9 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
![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.
=^ [ ² ] - [14]
9
7
B.T(A) = A + ₁ from R4x4 to R4x4
C. T(A) = ASA¹ from R²x2 to R²x², where S =
A. T(4) = A[1
A from R²x2 to R²x2
-3 6
4[38]
9
DE. T(A) = AT from R4x6 to R6x4
F.T(A) = SAS-¹ from R²x2 to R²x2, where S =
D.T(A) = A
from R to R²x2
-9
4
5
-8
3
-7
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a2975c-b075-4e7f-95a3-3742d529c071%2F18801cd7-69a3-47b7-adb6-3bb7b9766eac%2Fdx3kbk9_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.
=^ [ ² ] - [14]
9
7
B.T(A) = A + ₁ from R4x4 to R4x4
C. T(A) = ASA¹ from R²x2 to R²x², where S =
A. T(4) = A[1
A from R²x2 to R²x2
-3 6
4[38]
9
DE. T(A) = AT from R4x6 to R6x4
F.T(A) = SAS-¹ from R²x2 to R²x2, where S =
D.T(A) = A
from R to R²x2
-9
4
5
-8
3
-7
9
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