2. Let p(x) = 1 - 4t + 3t² € P₂. Consider the following ordered bases for P2. B = {1, t, t²3 and B' = (t², t + t², 1+t+t²3. a) Find [p]. b) Determine the transition matrix P from B to B'. c) using P, calculate [P] B

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 13EQ
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2. Let p(x) = 1 - 4t + 3t² € P₂. Consider the following ordered bases for P2.
B = {1, t, t²3 and B' = (t², t+t², 1+t+t²3.
a) Find [p].
b) Determine the transition matrix P from B to B'.
c) using P, calculate [P] B
Transcribed Image Text:2. Let p(x) = 1 - 4t + 3t² € P₂. Consider the following ordered bases for P2. B = {1, t, t²3 and B' = (t², t+t², 1+t+t²3. a) Find [p]. b) Determine the transition matrix P from B to B'. c) using P, calculate [P] B
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