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.
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a2975c-b075-4e7f-95a3-3742d529c071%2F5bd0eb27-6ec0-4afc-90eb-0ce7fa27a054%2Ftfmm7uk_processed.png&w=3840&q=75)
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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