The matrices4₁ = [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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Answered: The matrices A₁ = [18], 42 = [8], [8]₁4…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.