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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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