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Let te R and let g₁(x) = 1, Prove that {g₁, 82, 83} is a basis of 8₂(x) = x+t, g3(x) = (x + 1)². P₂ = {ao + a₁x + a₂x² | ao, α₁, a₂ € R}.

Let te R and let g₁(x) = 1, Prove that {g₁, 82, 83} is a basis of 8₂(x) = x+t, g3(x) = (x + 1)². P₂ = {ao + a₁x + a₂x² | ao, α₁, a₂ € R}.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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1. Let te R and let g₁(x) = 1, Prove that {g₁, 82, 83} is a basis of g₂ (x) = x + t, g3(x) = (x+t)². P₂ = {ao + a₁x + a2x² | αo, a₁, a2 € R}.
Transcribed Image Text:1. Let te R and let g₁(x) = 1, Prove that {g₁, 82, 83} is a basis of g₂ (x) = x + t, g3(x) = (x+t)². P₂ = {ao + a₁x + a2x² | αo, a₁, a2 € R}.
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