Question 1. Find the matrix representation of the linear transformation T(f(t)) f(3t-2) from P₂ to P₁, where P₂ = {ao + a₁ + a₂r²lao, a₁,02 € R}, the basis is {1,2, 1²).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
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Question 1. Find the matrix representation of the linear transformation T(f(t))
f(3t-2) from P₂ to P₁, where P₂ {ao + ax + azalao, a₁, az E R}, the basis
is {1, 2, 2²).
Transcribed Image Text:Question 1. Find the matrix representation of the linear transformation T(f(t)) f(3t-2) from P₂ to P₁, where P₂ {ao + ax + azalao, a₁, az E R}, the basis is {1, 2, 2²).
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