B = {1+t²,t +t?, 1+2t +t²} is a basis for P2. Find the coordinate vector of p(t) = 1 + 4t +7t² relative to B.
B = {1+t²,t +t?, 1+2t +t²} is a basis for P2. Find the coordinate vector of p(t) = 1 + 4t +7t² relative to B.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
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![B = {1+t²,t +t?, 1+2t +t²} is a basis for P2.
Find the coordinate vector of p(t) = 1 + 4t +7t² relative to B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd07712ad-ca2c-4465-9bbc-1b2c1f976bc6%2F27d769d6-ec61-43ef-a500-6a118d5c2a06%2Fonmrca.png&w=3840&q=75)
Transcribed Image Text:B = {1+t²,t +t?, 1+2t +t²} is a basis for P2.
Find the coordinate vector of p(t) = 1 + 4t +7t² relative to B.
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