Let e(x) = 1- 4t + 3t² € E₂. Consider the following ordered bases for E₂ B = {1, t, t²} and B' = {t², t+t², 1+t+t²}. 1. Find [e] 2. Determine the transition matrix P from B to B'. 3. Using E, calculate [e].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 49E
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in #2 please use matrices to get/show answer and solution

EXER 4.1
Let e(x) = 1- 4t + 3t² € E₂. Consider the following ordered bases for E₂
B = {1, t, t2} and B' = {t², t+t², 1+t+t²}.
1. Find [e]
2. Determine the transition matrix P from B to B'.
3. Using E, calculate [e]
Transcribed Image Text:EXER 4.1 Let e(x) = 1- 4t + 3t² € E₂. Consider the following ordered bases for E₂ B = {1, t, t2} and B' = {t², t+t², 1+t+t²}. 1. Find [e] 2. Determine the transition matrix P from B to B'. 3. Using E, calculate [e]
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