The matrices A₁ = [J]. - [ ] 4-[61] , 10 form a basis for the linear space V = R²x2. Write the matrix of the linear transformation T: R²×2 → R²×2 such that T(A) = 2A +9A² relative to this basis. [9] A3 = A₂ =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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The matrices
4-4-3
A₁ =
=
A3 =
"
- [8] 4-89].
,
10
form a basis for the linear space V = R²2x2. Write the matrix of the linear transformation T: R²x2R²x2 such that T(A) = 2A +9A¹ relative to this basis.
Transcribed Image Text:The matrices 4-4-3 A₁ = = A3 = " - [8] 4-89]. , 10 form a basis for the linear space V = R²2x2. Write the matrix of the linear transformation T: R²x2R²x2 such that T(A) = 2A +9A¹ relative to this basis.
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