The matrices A₁ = [18], 42 = [8], [8]₁4 = [] A3 = = form a basis for the linear space V = IR²X2. Write the matrix of the linear transformation T: R²X2 → R²x2 such that T(A) = 9A +5A7 relative to this basis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The matrices
4₁ = [18],
[J].
[],
[1]
form a basis for the linear space V = IR²x2, Write the matrix of the linear transformation T: R²x2 → R²x2 such that T(A) = 9A +5A¹ relative to this basis.
A3 =
A₂ =
A₁ =
Transcribed Image Text:The matrices 4₁ = [18], [J]. [], [1] form a basis for the linear space V = IR²x2, Write the matrix of the linear transformation T: R²x2 → R²x2 such that T(A) = 9A +5A¹ relative to this basis. A3 = A₂ = A₁ =
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