A₁ = [1₂8], 0 [:)], 1 A3 = A₂ A4 = - [8], - [89] 1 2x2 form a basis for the linear space V = R²×2. Write the matrix of the linear transformation T: R²×² → R²×2 such that T(A) = 10A + 12AT relative to this basis. 3000 0000

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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A₁ = [1
[1]
0
A3
=
3000
3000
0
[8]
1
"
"
A₂
A4
=
=
form a basis for the linear space V = R²×². Write the matrix of the
linear transformation T : R²×² → R²×² such that
T(A) = 10A + 12AT relative to this basis.
[8]
0
[89]
1
3000
0000
Transcribed Image Text:A₁ = [1 [1] 0 A3 = 3000 3000 0 [8] 1 " " A₂ A4 = = form a basis for the linear space V = R²×². Write the matrix of the linear transformation T : R²×² → R²×² such that T(A) = 10A + 12AT relative to this basis. [8] 0 [89] 1 3000 0000
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