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Consider the basis a = {1,1+x, 1+a+x ?} of P 2(R), and suppose 8 is another basis such that the change-of-coordinates matrix from a to B is -2 -1 5 3 1 -6 -2 3 i.e. for any f(x) E P2(R) we have that Qå[f(x)]a = [f(x)]g. Find ß.

Consider the basis a = {1,1+x, 1+a+x ?} of P 2(R), and suppose 8 is another basis such that the change-of-coordinates matrix from a to B is -2 -1 5 3 1 -6 -2 3 i.e. for any f(x) E P2(R) we have that Qå[f(x)]a = [f(x)]g. Find ß.

Advanced Engineering Mathematics
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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Q1 Consider the basis a = {1,1+x, 1+x+x '} of P 2(R), and suppose 8 is another basis such that the change-of-coordinates matrix from a to ß is -2 -1 5 3 1 -6 -2 3 i.e. for any f(x)e P2(R) we have that Qlf(x)]a = [f(x)]g. Find ß.
Transcribed Image Text:Q1 Consider the basis a = {1,1+x, 1+x+x '} of P 2(R), and suppose 8 is another basis such that the change-of-coordinates matrix from a to ß is -2 -1 5 3 1 -6 -2 3 i.e. for any f(x)e P2(R) we have that Qlf(x)]a = [f(x)]g. Find ß.
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