2. o) Let 5 be the standard basis {1, t, 6²3 for P₂ and B = { 1 + 2€ + €²₁2 + 5 €, 3 + 3€ + 8€²), B is a bosis for P2. i. Find the coordinate vector [3€²-4€+9]s. PP ii. Find the change of coordinates matrix BES. iii. Find the Coordinate vector [3-5€]B.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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2. o) Let S be the standard basis {1, €, €²} for P₂ and
B = { ₁ + 2€ + € ²₁ 2 + 5 €, 3 + 3€ + 8€²), B is a bosis
for P₂.
i. Find the coordinate vector [3€²-4€+9]s.
ii. Find the change of coordinates matrix BES.
PP
iii. Find the Coordinate vector [3-5€]B.
Transcribed Image Text:2. o) Let S be the standard basis {1, €, €²} for P₂ and B = { ₁ + 2€ + € ²₁ 2 + 5 €, 3 + 3€ + 8€²), B is a bosis for P₂. i. Find the coordinate vector [3€²-4€+9]s. ii. Find the change of coordinates matrix BES. PP iii. Find the Coordinate vector [3-5€]B.
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