I coudnt get it part bPart b only Question 3Consider the vector space P, of polynomials of degree ≤ 2.(P₂ = { 00 +0₂2 +0₂2²: do, a 2 in R)) Then B = = (v₁=1+2, 1-2²₁3=2²-2}is a basis of P₂. Suppose that C= {w₁, ₂, ws) is another basis such thatis the change of base (transition) matrix from B to C.(a)(Find wN₁ = 1w₁ +2W₂√₂ =-1|w₁+W₂+W32/ V3 = 1 W₁ + 1 W₂-1 1P 2 1 01الد = 2012 - ال-) (| ~₁ = -—=—=/15 - 11/22+(b)basis C above.1+x -2 (2x²+2x²2x=51Find the change of basis matrix from the standard basis {1, 2, ²} to theAIRTANE

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Answered: (b) Find the change of basis matrix…

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(b) Find the change of basis matrix from the standard, basis {1,2,2) to the basis C above.

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 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...

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Question

I coudnt get it part b

Part b only

Question 3
Consider the vector space P, of polynomials of degree ≤ 2.
(P₂ = { 00 +0₂2 +0₂2²: do, a 2 in R)) Then B = = (v₁=1+2, 1-2²₁3=2²-2}
is a basis of P₂. Suppose that C= {w₁, ₂, ws) is another basis such that
is the change of base (transition) matrix from B to C.
(a)(
Find w
N₁ = 1w₁ +2W₂
√₂ =-1|w₁+W₂+W3
2/ V3 = 1 W₁ + 1 W₂
-1 1
P 2 1 0
1
الد = 2012 - ال
-) (
| ~₁ = -—=—=/15 - 11/22
+
(b)
basis C above.
1+x -2 (2x²+2x²2x=51
Find the change of basis matrix from the standard basis {1, 2, ²} to the
AIRTANE

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