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) AT from R4x6 to R6x4 B. T(A) - SAS-¹ from R²×² to R²×², where S = = = c. T(A) = det(A) from R6×6 to R D. T(A) = trace(A) from R5×5 to R E.T(A) A + I4 from R4×4 to R4×4 4 F. T(A) = = 3] -6 7 A from R2×4 to R²×4 9 -30
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) AT from R4x6 to R6x4 B. T(A) - SAS-¹ from R²×² to R²×², where S = = = c. T(A) = det(A) from R6×6 to R D. T(A) = trace(A) from R5×5 to R E.T(A) A + I4 from R4×4 to R4×4 4 F. T(A) = = 3] -6 7 A from R2×4 to R²×4 9 -30
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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show step by step explanation of why some are linear transformations and the others are not
![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.
Ā. T(A) = AT from R4>
4x6
=
B. T(A) = SAS-¹ from R²×² to R²×2, where S
2x2
=
c. T(A)
D. T(A)
det(A) from R6×6 to R
trace(A) from R5×5 to R
E. T(A) = A + №₁ from R4×4 to R4×4
=
-
F. T(A) =
=
to R6x4
[46
3]
A from R2×4 to R²×4
9
[23
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F553c03f6-c199-4870-a061-8ddf7adde455%2Fcdd00a70-ce27-49c6-bfce-255089673904%2F5q5jbs4_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.
Ā. T(A) = AT from R4>
4x6
=
B. T(A) = SAS-¹ from R²×² to R²×2, where S
2x2
=
c. T(A)
D. T(A)
det(A) from R6×6 to R
trace(A) from R5×5 to R
E. T(A) = A + №₁ from R4×4 to R4×4
=
-
F. T(A) =
=
to R6x4
[46
3]
A from R2×4 to R²×4
9
[23
1
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