The matrices , A₂ = 0 =[]-[J]. [1] 0 -[9] A4 = form a basis for the linear space V = R2X2. Write the matrix of the linear transformation T: R2X2 basis. A₁ A3 = " → R2X2 such that T(A) = 12A + 6AT relative to this

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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The matrices
A₁
=
0
[18], 42
0
0 0
= [₂8]
1 0
A3 =
9
9
A₂ =
A4 =
1
[J]
0
[8]
0 1
9
9
form a basis for the linear space V = R²×². Write the matrix of the linear transformation T : R²×2
basis.
→
R2X2 such that T(A) = 12A + 6AT relative to this
Transcribed Image Text:The matrices A₁ = 0 [18], 42 0 0 0 = [₂8] 1 0 A3 = 9 9 A₂ = A4 = 1 [J] 0 [8] 0 1 9 9 form a basis for the linear space V = R²×². Write the matrix of the linear transformation T : R²×2 basis. → R2X2 such that T(A) = 12A + 6AT relative to this
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