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 C. T(A) = [] D. T(A) = AT from R3x5 to R5x3 E. T(A) = A7 from R4x4 to R4x4 F. T(A) = 6A from R4x5 to R4x5 A from R2x3 to R2x3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I know that a) is not linear and b) and c) are linear so could you answer it for d) and e) and f) please?
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
C. T(A) =
[1]
D. T(A) AT from R3x5 to R5x3
E. T(A) = A7 from R4x4 to R4x4
F. T(A) = 6A from R4x5 to R4x5
A from R 2x3 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 C. T(A) = [1] D. T(A) AT from R3x5 to R5x3 E. T(A) = A7 from R4x4 to R4x4 F. T(A) = 6A from R4x5 to R4x5 A from R 2x3 to R2x3
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