The matrices 4₁ = [8] · ^2-[J]. A₂ = = [:] 9. form a basis for the linear space V = R2X2. Write the matrix of the linear transformation T: R2X2 → R2x2 such that T(A) = 6A + 13A7 relative to this basis. A3 = , A4 =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The matrices
4₁-2-4-6 J
[1]
A₂ =
☐☐
=
A₁ = [₁ ]
A3
form a basis for the linear space V = R²X2. Write the matrix of the linear transformation T: R2X2 → R2x2 such that T(A) = 6A + 13A¹ relative to this basis.
A4 =
0
Transcribed Image Text:The matrices 4₁-2-4-6 J [1] A₂ = ☐☐ = A₁ = [₁ ] A3 form a basis for the linear space V = R²X2. Write the matrix of the linear transformation T: R2X2 → R2x2 such that T(A) = 6A + 13A¹ relative to this basis. A4 = 0
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