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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 sur you can justify your answers. A.T(A) det(A) from R³x3 to R B. T(A) 1A from R4x3 to R4x3 OC. T(A)= AT from R5x3 to R³x5 1 D. T(A) = A 6 8 OE. T(A) = A² from R4x4 to R4x4 6 5 R.T(4) - [74 -9 P from IR to R2x2 A from R2x5 to R²x5

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sur you can justify your answers. A.T(A) det(A) from R³x3 to R B. T(A) 1A from R4x3 to R4x3 OC. T(A)= AT from R5x3 to R³x5 1 D. T(A) = A 6 8 OE. T(A) = A² from R4x4 to R4x4 6 5 R.T(4) - [74 -9 P from IR to R2x2 A from R2x5 to R²x5

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 su you can justify your answers. A. T(A) det(A) from R³x³ to R B. T(A) 1A from R4x3 to R4x3 OC. T(A) = AT from R5x3 to R³x5 1 D. T(A) = A 1 from IR to R2x2 6 8 JE. T(A)= A2 from R4x4 to R4x4 6 5 R.T(A)=[74 -97 A from R2x5 to R2x5
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 su you can justify your answers. A. T(A) det(A) from R³x³ to R B. T(A) 1A from R4x3 to R4x3 OC. T(A) = AT from R5x3 to R³x5 1 D. T(A) = A 1 from IR to R2x2 6 8 JE. T(A)= A2 from R4x4 to R4x4 6 5 R.T(A)=[74 -97 A from R2x5 to R2x5
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