. Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x +2, 2x +3,-x² + x + 1} v=-3x² + 6x +8 b) B = D {[1 v = (²₁ 3²1) ·--080 c) B₁ = 1 B₂ = B2 GOE -=[] 2 2 v=

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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7. Find the coordinates of the vector v relative to the ordered basis B.
a) B = {x² + 2x + 2, 2x + 3,−x² + x + 1}
v=-3x² + 6x + 8
14 D
b) B = {[1₁¹] [
= (₁ 3²1
-CAC)
=
B₂
-QAED
=
0
v=
c) B₁
v=
22
Transcribed Image Text:7. Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x + 2, 2x + 3,−x² + x + 1} v=-3x² + 6x + 8 14 D b) B = {[1₁¹] [ = (₁ 3²1 -CAC) = B₂ -QAED = 0 v= c) B₁ v= 22
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