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In the vector space P 2² of polynomials of degree atmost two, the first column of the matrix of to the basis transition from the basis B=(e₁=1+x;e₂=x+x²e₁=3+x²) A = {r=1-3x; s=x; t=x²} is:

In the vector space P 2² of polynomials of degree atmost two, the first column of the matrix of to the basis transition from the basis B=(e₁=1+x;e₂=x+x²e₁=3+x²) A = {r=1-3x; s=x; t=x²} is:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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In the vector space P of polynomials of degree atmost two, the first column of the matrix of 2² transition from the basis ₁=1+x; e₁₂ = x + x² ; e₂ = 3 + x ² } A = {r=1-3x; s=x; t=x²} is: B={e₁=1 to the basis
Transcribed Image Text:In the vector space P of polynomials of degree atmost two, the first column of the matrix of 2² transition from the basis ₁=1+x; e₁₂ = x + x² ; e₂ = 3 + x ² } A = {r=1-3x; s=x; t=x²} is: B={e₁=1 to the basis
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