Let B = 3 (1, x + 8, (x − 1)², 2x³) be an ordered basis for P3. Find the coordinate vector of 3 - f(x) = 8x³ — 6x² - 7x + 3 relative to B. fB =

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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Let B =
3
(1, x + 8, (x − 1)², 2x³) be an ordered basis for P3. Find the coordinate vector of
3
-
f(x) = 8x³ — 6x² - 7x + 3 relative to B.
fB
=
Transcribed Image Text:Let B = 3 (1, x + 8, (x − 1)², 2x³) be an ordered basis for P3. Find the coordinate vector of 3 - f(x) = 8x³ — 6x² - 7x + 3 relative to B. fB =
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