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 R5x5 to R B. T(A) = A6 from R4x4 to R4x4 8 C. T(A) = -9 D. T(A) = AT from R3x6 -2 E. T(A) = A A from R2X3 to R6x3 [9 2 8 F. T(A) = det(A) from R6x6 5 to R to R2x3 A from R2x2 to R2x2

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.
A. T(A) = trace(A) from R5x5 to R
B. T(A) = A6 from R4X4
to R 4x4
8
= [³
D. T(A) = AT from
9
E. T(A) = A
C. T(A) =
-9 5
A from R2x3 to R2×3
R³×6 to R6×3
3x6
-2 [9 2
1-1/32
5
8
5
6
F. T(A) = det(A) from R6x6 to R
A from R2x2 to R2x2
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 R5x5 to R B. T(A) = A6 from R4X4 to R 4x4 8 = [³ D. T(A) = AT from 9 E. T(A) = A C. T(A) = -9 5 A from R2x3 to R2×3 R³×6 to R6×3 3x6 -2 [9 2 1-1/32 5 8 5 6 F. T(A) = det(A) from R6x6 to R A from R2x2 to R2x2
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