Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A from R6x4 to R6x4 OC. T(A)= A² from R6x6 to R6x6
Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A from R6x4 to R6x4 OC. T(A)= A² from R6x6 to R6x6
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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Transcribed Image Text:Which of the following transformations are linear?
DA. T(A) = A + I3 from R³x3 to R³×³
OB. T(A)=9A from R6x4 to R6x4
OC. T(A) = A² from R6x6 to R6x6
5
D. T(4) = [4 34 A from R2x3 to R2x3
E.T(A) SAS-¹
OF. T(A) = AT from
=
from R²x2 to R²x2, where S=
R³x4 to R4x3
-5
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