Let B = {1,1+x,1+ x + x² }. (a) Check whether that the set B is a basis for P2. 2 (b) Let p(x) = 1+3x +x². Compute the coordinate [p(x)]g of p(x).
Let B = {1,1+x,1+ x + x² }. (a) Check whether that the set B is a basis for P2. 2 (b) Let p(x) = 1+3x +x². Compute the coordinate [p(x)]g of p(x).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 5E
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![Let
B = {1,1+x, 1+x + x²}.
(a) Check whether that the set B is a basis for P2.
(b) Let p(x) = 1+ 3x + x². Compute the coordinate [p(x)]g of p(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2191ff5f-0867-4682-9559-0b1c4e7ecbac%2F8b550626-75f7-46f3-8427-5cce987c3fd3%2F8mejc0p_processed.png&w=3840&q=75)
Transcribed Image Text:Let
B = {1,1+x, 1+x + x²}.
(a) Check whether that the set B is a basis for P2.
(b) Let p(x) = 1+ 3x + x². Compute the coordinate [p(x)]g of p(x).
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