II. Let V =span- and define the transformations [a b] c d [a² – 6? c? - d²1 S(A) = adj(A) d Determine which transformations are linear. i. T: M2x2(R) → M2x2(R) ii. S: M2x2(R) → M2x2(R) iii. T :V → M2x2(R)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
Question
II. Let V =span-
and define the transformations
[a b]
c d
[a² – 6? c? - d²1
S(A) = adj(A)
d
Determine which transformations are linear.
i. T: M2x2(R) → M2x2(R)
ii. S: M2x2(R) → M2x2(R)
iii. T :V → M2x2(R)
Transcribed Image Text:II. Let V =span- and define the transformations [a b] c d [a² – 6? c? - d²1 S(A) = adj(A) d Determine which transformations are linear. i. T: M2x2(R) → M2x2(R) ii. S: M2x2(R) → M2x2(R) iii. T :V → M2x2(R)
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