Which of the following transformations are linear? A.T(A)=SAS-1 from R2x2 to R2x2, where S = [²814 A from R2x5 to R2x5 -8 OB. T(A) = 91 DC.T(A) = A + 15 from R5x5 to R5x5 OD. T(A) = trace(A) from R6x6 to R E.T(A) = det(A) from R³x3 to R OF.T(A)=5A from R4x3 to R4x3 [a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Linear algebra q3
Which of the following transformations are linear?
A.T(A) = SAS-1 from R2x2 to R²x2, where S=
OB. T(4) =
-8
C.T(A) = A + 15 from R5x5
to R5x5
OD. T(A) = trace(A) from R6x6 to R
E.T(A) = det(A) from R³x3 to R
OF.T(A)=5A from R4x3 to R4x3
91
A from R2x5 to R2x5
- [a
Transcribed Image Text:Which of the following transformations are linear? A.T(A) = SAS-1 from R2x2 to R²x2, where S= OB. T(4) = -8 C.T(A) = A + 15 from R5x5 to R5x5 OD. T(A) = trace(A) from R6x6 to R E.T(A) = det(A) from R³x3 to R OF.T(A)=5A from R4x3 to R4x3 91 A from R2x5 to R2x5 - [a
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