The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the coordinates of p(x) = 18x – 54 – 40x² relative to this basis: [p(x)]B =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 45E
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The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the
coordinates of p(x) = 18x – 54 – 40x² relative to this basis:
[p(x)]B =
Transcribed Image Text:The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the coordinates of p(x) = 18x – 54 – 40x² relative to this basis: [p(x)]B =
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