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].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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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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