The matrices 4₁ = [18] · A₂ = [od] · , A3 = [0].A 0 -[9] 0 A4 = → R2 form a basis for the linear space V = R2x2. Write the matrix of the linear transformation T: R2X2 2x2 such that T(A) = 4A +15AT relative to this basis.

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...
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The matrices
4₁ = [18] · 4₂ = [od] ·
,
A3 =
[0].A
0
-[9]
0
A4 =
form a basis for the linear space V = R2x2. Write the matrix of the linear transformation T: R2x2
relative to this basis.
2x2
→ R2
such that T(A) = 4A +15AT
Transcribed Image Text:The matrices 4₁ = [18] · 4₂ = [od] · , A3 = [0].A 0 -[9] 0 A4 = form a basis for the linear space V = R2x2. Write the matrix of the linear transformation T: R2x2 relative to this basis. 2x2 → R2 such that T(A) = 4A +15AT
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