OA. T(A) trace(A) from R3x3 to R OB. T(A) AT from R4x5 to R5x4 2-4 ¹ [²3 3] 6¹]-[² 8 85 0 C. T(A) = A A from R2x2 to R2×2 OD. T(A) E. T(A) OF. T(A)= det (A) from R5x5 to R A7 from R6x6 to R6x6 SAS-1 from R2x2 to R2x2, where S = [1]

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) = trace(A) from R³x3 to R
OB. T(A) AT from R4x5
to R5x4
0
2
C. T(A) = A
[²3]
A from R2x2 to R²x2
8 6
OD. T(A) A7 from R6x6
E. T(A) = SAS-1 from R2x2 to R2x2, where S =
OF. T(A) det (A) from R5x5 to R
to R6x6
-7
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) = trace(A) from R³x3 to R OB. T(A) AT from R4x5 to R5x4 0 2 C. T(A) = A [²3] A from R2x2 to R²x2 8 6 OD. T(A) A7 from R6x6 E. T(A) = SAS-1 from R2x2 to R2x2, where S = OF. T(A) det (A) from R5x5 to R to R6x6 -7
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