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].
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].
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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#3 pls
![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F189bf13b-a088-4bcf-bb4d-7d0baa6c687b%2F5117d5ab-450c-4a2f-9343-b2a988bf19e5%2F8r09emm_processed.jpeg&w=3840&q=75)
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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In #2, can you use the Gauss-Jordan Elimination to obtain the transition matrix? btw, how did you get the values of k per column in the #2
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Is the answer in #1 and #3 not in matrix form? how so?
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