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. OA. T(A) = A4 from R OB. T(A) = AT from R to R 6x6 to R c. T(A) = trace(A) from R to R D. T(A) = det(A) from R 5x5 to R E. T(A) = A ) = A[ ²3² 8 A [²³3 5 F. T(A) = A 4x5 6 2 -7 8 5x4 from R to R 2x2 2 -1/²3 5 7 4 A from R 2x2 to R 2x2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 15E
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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.
OA. T(A) = A4 from R
OB. T(A) = AT from R
to R 6x6
to R
c. T(A) = trace(A) from R to R
D. T(A) = det(A) from R 5x5 to R
) = A[ ²-3
A [²/3
E. T(A) = A
F. T(A) = A
4x5
8 6
2 -7
5 8
5x4
from R to R 2x2
2
-1/²3
5
7
4
A from R
2x2
to R 2x2
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. OA. T(A) = A4 from R OB. T(A) = AT from R to R 6x6 to R c. T(A) = trace(A) from R to R D. T(A) = det(A) from R 5x5 to R ) = A[ ²-3 A [²/3 E. T(A) = A F. T(A) = A 4x5 8 6 2 -7 5 8 5x4 from R to R 2x2 2 -1/²3 5 7 4 A from R 2x2 to R 2x2
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