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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. T(A) = A6 from R6x6 to R6x6 T(A) = trace(A) from R4x4 to R -8 T(4) = A [ 1 2 ³] - [18] 9 T(A) = ASA-¹ from R²x2 to R²x2, where S = -4 7 T(A) = A [ ²2 1] som R to R² from 3 T(A) = 4A from R6x3 to R6x3 A from R²x2 to R2x2 [4] [23²2 8 -6

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. T(A) = A6 from R6x6 to R6x6 T(A) = trace(A) from R4x4 to R -8 T(4) = A [ 1 2 ³] - [18] 9 T(A) = ASA-¹ from R²x2 to R²x2, where S = -4 7 T(A) = A [ ²2 1] som R to R² from 3 T(A) = 4A from R6x3 to R6x3 A from R²x2 to R2x2 [4] [23²2 8 -6

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 16E
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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) = A6 from R6×6 to R6×6 |B. T(A) = trace(A) from R4×4 to R 1[10 2]-[18] 6 6 9 c. T(A) = A D. T(A) = ASA-¹ from R²×² to R²×², where S = }] 3 E. T(A) = A = A[ 2 6x3 OF. T(A) = 4A from R6׳ to R6׳ R6x3 2x2 A from R2×2 to R²×2 -4 7 2x2 from R to R²X2 -2 8 46]
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) = A6 from R6×6 to R6×6 |B. T(A) = trace(A) from R4×4 to R 1[10 2]-[18] 6 6 9 c. T(A) = A D. T(A) = ASA-¹ from R²×² to R²×², where S = }] 3 E. T(A) = A = A[ 2 6x3 OF. T(A) = 4A from R6׳ to R6׳ R6x3 2x2 A from R2×2 to R²×2 -4 7 2x2 from R to R²X2 -2 8 46]
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