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) = det(A) from R5X5 to R B. T(A) = trace(A) from R6x6 to R >= [1 1 ²] ₁ D. T(A) = AT from R3x5 to R5x3 E. T(A) = A7 from R 4x4 to R4x4 to R4x5 F. T(A)= 6A from R 4x5 C.T(A) = A from R2x3 to R2x3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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) = det(A) from R5x5 to R
B. T(A) = trace(A) from R6x6 to R
1
C. T(A) =
D. T(A) = AT from R3x5 to R5x3
E. T(A) = A7 from R 4x4 to R4x4
F. T(A) = 6A from R4x5 4x5
to R4
2₁
A from R2x3 to R2x3
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) = det(A) from R5x5 to R B. T(A) = trace(A) from R6x6 to R 1 C. T(A) = D. T(A) = AT from R3x5 to R5x3 E. T(A) = A7 from R 4x4 to R4x4 F. T(A) = 6A from R4x5 4x5 to R4 2₁ A from R2x3 to R2x3
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