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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 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

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

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. 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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