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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 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

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

Advanced Engineering Mathematics
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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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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